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The title compound, C14H16N2O3, is chiral. There are two mol­ecules in the asymmetric unit, which are related by an approximate non-crystallographic twofold screw axis. Mol­ecules of the title compound are linked by inter­molecular N—H...O hydrogen-bond inter­actions involving the H atoms of the amino groups and O atoms of the keto groups, thus forming a zigzag structure.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536806055413/ez2058sup1.cif
Contains datablocks I, global

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600536806055413/ez2058Isup2.hkl
Contains datablock I

CCDC reference: 636253

Key indicators

  • Single-crystal X-ray study
  • T = 298 K
  • Mean [sigma](C-C) = 0.010 Å
  • R factor = 0.062
  • wR factor = 0.180
  • Data-to-parameter ratio = 7.6

checkCIF/PLATON results

No syntax errors found



Alert level C PLAT066_ALERT_1_C Predicted and Reported Transmissions Identical . ? PLAT089_ALERT_3_C Poor Data / Parameter Ratio (Zmax .LT. 18) ..... 7.57 PLAT125_ALERT_4_C No _symmetry_space_group_name_Hall Given ....... ? PLAT220_ALERT_2_C Large Non-Solvent C Ueq(max)/Ueq(min) ... 2.83 Ratio PLAT220_ALERT_2_C Large Non-Solvent C Ueq(max)/Ueq(min) ... 3.18 Ratio PLAT222_ALERT_3_C Large Non-Solvent H Ueq(max)/Ueq(min) ... 3.21 Ratio PLAT222_ALERT_3_C Large Non-Solvent H Ueq(max)/Ueq(min) ... 3.60 Ratio PLAT230_ALERT_2_C Hirshfeld Test Diff for O4 - C27 .. 5.57 su PLAT241_ALERT_2_C Check High Ueq as Compared to Neighbors for C13 PLAT241_ALERT_2_C Check High Ueq as Compared to Neighbors for C27 PLAT340_ALERT_3_C Low Bond Precision on C-C bonds (x 1000) Ang ... 10
Alert level G REFLT03_ALERT_4_G Please check that the estimate of the number of Friedel pairs is correct. If it is not, please give the correct count in the _publ_section_exptl_refinement section of the submitted CIF. From the CIF: _diffrn_reflns_theta_max 25.00 From the CIF: _reflns_number_total 2505 Count of symmetry unique reflns 2549 Completeness (_total/calc) 98.27% TEST3: Check Friedels for noncentro structure Estimate of Friedel pairs measured 0 Fraction of Friedel pairs measured 0.000 Are heavy atom types Z>Si present no PLAT791_ALERT_1_G Confirm the Absolute Configuration of C6 = . S PLAT791_ALERT_1_G Confirm the Absolute Configuration of C20 = . S
0 ALERT level A = In general: serious problem 0 ALERT level B = Potentially serious problem 11 ALERT level C = Check and explain 3 ALERT level G = General alerts; check 3 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 5 ALERT type 2 Indicator that the structure model may be wrong or deficient 4 ALERT type 3 Indicator that the structure quality may be low 2 ALERT type 4 Improvement, methodology, query or suggestion 0 ALERT type 5 Informative message, check

Computing details top

Data collection: SMART (Bruker, 2000); cell refinement: SAINT (Bruker, 2000); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: SHELXTL (Bruker, 2000) and DIAMOND (Brandenburg, 2004); software used to prepare material for publication: SHELXTL.

Ethyl 6-methyl-2-oxo-4-phenyl-1,2,3,4-tetrahydropyrimidine-5-carboxylate top
Crystal data top
C14H16N2O3Dx = 1.299 Mg m3
Mr = 260.29Melting point: 475 K
Monoclinic, P21Mo Kα radiation, λ = 0.71073 Å
a = 11.516 (3) ÅCell parameters from 1277 reflections
b = 7.429 (2) Åθ = 2.5–22.2°
c = 16.101 (3) ŵ = 0.09 mm1
β = 104.878 (3)°T = 298 K
V = 1331.3 (6) Å3Needle, colourless
Z = 40.52 × 0.11 × 0.08 mm
F(000) = 552
Data collection top
Bruker SMART CCD area-detector
diffractometer
2505 independent reflections
Radiation source: fine-focus sealed tube1614 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.056
φ and ω scansθmax = 25.0°, θmin = 1.8°
Absorption correction: multi-scan
(SADABS; Sheldrick, 1996)
h = 1310
Tmin = 0.954, Tmax = 0.993k = 88
6562 measured reflectionsl = 1719
Refinement top
Refinement on F2Secondary atom site location: difference Fourier map
Least-squares matrix: fullHydrogen site location: inferred from neighbouring sites
R[F2 > 2σ(F2)] = 0.062H-atom parameters constrained
wR(F2) = 0.180 w = 1/[σ2(Fo2) + (0.0758P)2 + 0.0608P]
where P = (Fo2 + 2Fc2)/3
S = 1.05(Δ/σ)max < 0.001
2505 reflectionsΔρmax = 0.35 e Å3
331 parametersΔρmin = 0.46 e Å3
52 restraintsAbsolute structure: Flack (1983), with how many Friedel pairs?
Primary atom site location: structure-invariant direct methods
Special details top

Experimental. Spectroscopic analysis: 1H NMR (DMSO-d6, 360 MHz, δ, p.p.m.): 9.21 (br, 1H), 7.3 (br, 1H), 7.03–7.32 (m, 5H), 5.11 (s, 1H), 3.91 (q, 2H), 2.30 (s, 3H), 1.09 (t, 3H). Elemental analysis, calculated for C14H16N2O3: C 64.60, H 6.19, N 10.76%; found: C 64.25, H 6.21, N 10.68%.

Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes.

Refinement. Refinement of F2 against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F2, conventional R-factors R are based on F, with F set to zero for negative F2. The threshold expression of F2 > σ(F2) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F2 are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
N10.9344 (4)0.6919 (7)0.1671 (3)0.0369 (12)
H10.91130.59080.14230.044*
N20.9317 (4)1.0012 (7)0.1613 (3)0.0393 (13)
H20.93861.09780.13350.047*
N30.8265 (4)0.4923 (7)0.9486 (3)0.0387 (12)
H30.83650.59250.97630.046*
N40.8286 (4)0.1844 (7)0.9499 (3)0.0346 (12)
H40.86570.08740.97070.042*
O11.0867 (4)1.0324 (7)0.4129 (2)0.0525 (12)
O21.1080 (5)0.7377 (8)0.4360 (3)0.0722 (16)
O30.8841 (3)0.8362 (6)0.0388 (2)0.0418 (10)
O40.6659 (4)0.1739 (7)0.6949 (2)0.0576 (13)
O50.6833 (4)0.4698 (7)0.6751 (3)0.0607 (14)
O60.9123 (3)0.3432 (6)1.0718 (2)0.0437 (10)
C11.0700 (6)0.8628 (10)0.3881 (4)0.0439 (15)
C20.9997 (5)0.8469 (9)0.2987 (3)0.0340 (13)
C30.9899 (5)0.6910 (9)0.2543 (3)0.0355 (14)
C41.0329 (6)0.5094 (9)0.2882 (4)0.0489 (17)
H4A1.07640.45470.25130.073*
H4B0.96520.43550.29000.073*
H4C1.08470.52120.34510.073*
C50.9142 (5)0.8461 (8)0.1180 (3)0.0321 (12)
C60.9399 (5)1.0170 (8)0.2532 (3)0.0354 (14)
H60.99141.12020.27580.042*
C70.8171 (5)1.0481 (8)0.2707 (3)0.0361 (14)
C80.7123 (6)0.9912 (12)0.2147 (5)0.068 (2)
H80.71510.93910.16270.082*
C90.6031 (7)1.0101 (13)0.2341 (6)0.082 (3)
H90.53340.96710.19630.099*
C100.5972 (7)1.0921 (11)0.3092 (5)0.068 (2)
H100.52361.10580.32220.082*
C110.6992 (6)1.1530 (12)0.3644 (4)0.061 (2)
H110.69531.20990.41500.073*
C120.8082 (6)1.1312 (10)0.3458 (4)0.0487 (18)
H120.87741.17310.38440.058*
C131.1584 (9)1.0611 (13)0.5007 (5)0.0903 (19)
H13A1.23210.99160.51120.108*
H13B1.11391.02230.54120.108*
C141.1865 (9)1.2542 (12)0.5121 (5)0.0903 (19)
H14A1.23271.27580.57000.135*
H14B1.11311.32200.50120.135*
H14C1.23191.29090.47270.135*
C150.6961 (5)0.3395 (11)0.7237 (4)0.0439 (15)
C160.7388 (5)0.3452 (9)0.8174 (3)0.0344 (13)
C170.7792 (5)0.4971 (9)0.8604 (3)0.0357 (15)
C180.7812 (6)0.6817 (9)0.8237 (4)0.0521 (18)
H18A0.79170.67270.76660.078*
H18B0.84640.74930.85910.078*
H18C0.70670.74160.82170.078*
C190.8580 (5)0.3378 (9)0.9935 (3)0.0321 (12)
C200.7360 (5)0.1734 (9)0.8683 (3)0.0348 (14)
H200.75630.07270.83540.042*
C210.6142 (5)0.1359 (8)0.8834 (4)0.0353 (14)
C220.5791 (6)0.2147 (11)0.9516 (4)0.0538 (19)
H220.63270.28680.99070.065*
C230.4647 (7)0.1858 (12)0.9613 (5)0.068 (2)
H230.44220.24001.00690.081*
C240.3844 (6)0.0800 (11)0.9059 (5)0.060 (2)
H240.30810.06150.91370.072*
C250.4170 (6)0.0002 (11)0.8378 (5)0.064 (2)
H250.36300.07280.79950.077*
C260.5312 (5)0.0299 (10)0.8273 (4)0.0513 (17)
H260.55250.02310.78100.062*
C270.6171 (9)0.1544 (15)0.6029 (5)0.101 (2)
H27A0.68190.15100.57460.121*
H27B0.56580.25610.58060.121*
C280.5477 (9)0.0128 (14)0.5861 (5)0.101 (2)
H28A0.51360.02550.52540.151*
H28B0.48450.00940.61500.151*
H28C0.59960.11320.60680.151*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
N10.047 (3)0.025 (3)0.036 (3)0.000 (3)0.006 (2)0.005 (2)
N20.055 (3)0.028 (3)0.038 (3)0.002 (3)0.016 (2)0.002 (3)
N30.048 (3)0.030 (3)0.037 (3)0.002 (3)0.011 (2)0.000 (2)
N40.032 (3)0.026 (3)0.039 (3)0.000 (2)0.002 (2)0.002 (2)
O10.060 (3)0.051 (3)0.037 (2)0.002 (2)0.005 (2)0.015 (2)
O20.101 (4)0.056 (4)0.047 (3)0.009 (3)0.004 (3)0.001 (3)
O30.060 (3)0.035 (2)0.032 (2)0.006 (2)0.0160 (19)0.001 (2)
O40.078 (3)0.057 (3)0.030 (2)0.017 (3)0.000 (2)0.007 (2)
O50.076 (3)0.058 (3)0.045 (2)0.006 (3)0.009 (2)0.020 (3)
O60.060 (3)0.037 (2)0.031 (2)0.004 (2)0.0070 (18)0.001 (2)
C10.051 (4)0.039 (4)0.037 (3)0.003 (3)0.003 (3)0.004 (4)
C20.040 (3)0.025 (3)0.036 (3)0.002 (3)0.007 (2)0.000 (3)
C30.040 (3)0.034 (4)0.032 (3)0.001 (3)0.006 (2)0.007 (3)
C40.069 (4)0.029 (4)0.046 (4)0.012 (3)0.009 (3)0.002 (3)
C50.041 (3)0.018 (3)0.040 (3)0.002 (3)0.017 (2)0.001 (3)
C60.048 (3)0.026 (3)0.033 (3)0.005 (3)0.013 (2)0.000 (3)
C70.046 (3)0.025 (3)0.037 (3)0.002 (3)0.010 (3)0.002 (3)
C80.043 (4)0.068 (6)0.093 (5)0.004 (4)0.015 (4)0.038 (5)
C90.053 (5)0.078 (7)0.112 (7)0.008 (5)0.015 (5)0.047 (6)
C100.058 (5)0.052 (5)0.101 (6)0.009 (4)0.033 (5)0.003 (5)
C110.064 (5)0.066 (5)0.059 (4)0.004 (4)0.027 (4)0.013 (4)
C120.047 (4)0.055 (5)0.044 (3)0.010 (3)0.012 (3)0.004 (3)
C130.100 (4)0.079 (4)0.068 (3)0.005 (4)0.020 (3)0.021 (3)
C140.100 (4)0.079 (4)0.068 (3)0.005 (4)0.020 (3)0.021 (3)
C150.036 (3)0.051 (4)0.046 (3)0.007 (4)0.013 (3)0.008 (4)
C160.035 (3)0.033 (4)0.038 (3)0.001 (3)0.013 (2)0.002 (3)
C170.035 (3)0.035 (4)0.039 (3)0.004 (3)0.013 (3)0.007 (3)
C180.059 (4)0.032 (4)0.061 (4)0.000 (4)0.008 (3)0.015 (3)
C190.035 (3)0.028 (3)0.034 (3)0.000 (3)0.012 (2)0.000 (3)
C200.037 (3)0.035 (4)0.031 (3)0.003 (3)0.005 (2)0.001 (3)
C210.042 (3)0.022 (3)0.043 (3)0.000 (3)0.013 (3)0.007 (3)
C220.042 (4)0.067 (5)0.058 (4)0.007 (4)0.022 (3)0.014 (4)
C230.062 (5)0.073 (6)0.081 (5)0.006 (5)0.041 (4)0.007 (5)
C240.039 (4)0.056 (5)0.089 (5)0.002 (4)0.027 (4)0.019 (4)
C250.050 (4)0.067 (6)0.074 (5)0.021 (4)0.011 (4)0.001 (5)
C260.051 (4)0.048 (4)0.056 (4)0.017 (4)0.014 (3)0.008 (4)
C270.126 (5)0.101 (5)0.062 (3)0.028 (4)0.001 (3)0.017 (4)
C280.126 (5)0.101 (5)0.062 (3)0.028 (4)0.001 (3)0.017 (4)
Geometric parameters (Å, º) top
N1—C51.377 (8)C10—H100.9300
N1—C31.386 (7)C11—C121.372 (9)
N1—H10.8600C11—H110.9300
N2—C51.336 (8)C12—H120.9300
N2—C61.463 (7)C13—C141.472 (11)
N2—H20.8600C13—H13A0.9700
N3—C191.355 (8)C13—H13B0.9700
N3—C171.385 (7)C14—H14A0.9600
N3—H30.8600C14—H14B0.9600
N4—C191.336 (8)C14—H14C0.9600
N4—C201.466 (7)C15—C161.462 (8)
N4—H40.8600C16—C171.343 (9)
O1—C11.320 (9)C16—C201.522 (9)
O1—C131.459 (8)C17—C181.497 (9)
O2—C11.215 (8)C18—H18A0.9600
O3—C51.235 (6)C18—H18B0.9600
O4—C151.330 (10)C18—H18C0.9600
O4—C271.450 (8)C20—C211.509 (8)
O5—C151.230 (8)C20—H200.9800
O6—C191.255 (6)C21—C261.380 (8)
C1—C21.464 (8)C21—C221.394 (8)
C2—C31.351 (9)C22—C231.383 (9)
C2—C61.532 (9)C22—H220.9300
C3—C41.491 (9)C23—C241.358 (11)
C4—H4A0.9600C23—H230.9300
C4—H4B0.9600C24—C251.380 (10)
C4—H4C0.9600C24—H240.9300
C6—C71.530 (8)C25—C261.386 (9)
C6—H60.9800C25—H250.9300
C7—C81.375 (8)C26—H260.9300
C7—C121.384 (8)C27—C281.464 (10)
C8—C91.380 (10)C27—H27A0.9700
C8—H80.9300C27—H27B0.9700
C9—C101.370 (10)C28—H28A0.9600
C9—H90.9300C28—H28B0.9600
C10—C111.356 (10)C28—H28C0.9600
C5—N1—C3123.5 (5)H13A—C13—H13B108.4
C5—N1—H1118.2C13—C14—H14A109.5
C3—N1—H1118.2C13—C14—H14B109.5
C5—N2—C6124.0 (5)H14A—C14—H14B109.5
C5—N2—H2118.0C13—C14—H14C109.5
C6—N2—H2118.0H14A—C14—H14C109.5
C19—N3—C17123.3 (5)H14B—C14—H14C109.5
C19—N3—H3118.3O5—C15—O4121.9 (5)
C17—N3—H3118.3O5—C15—C16126.0 (7)
C19—N4—C20123.1 (5)O4—C15—C16112.1 (6)
C19—N4—H4118.5C17—C16—C15122.5 (6)
C20—N4—H4118.5C17—C16—C20118.6 (5)
C1—O1—C13115.7 (6)C15—C16—C20118.9 (6)
C15—O4—C27116.6 (6)C16—C17—N3120.0 (6)
O2—C1—O1122.5 (6)C16—C17—C18127.2 (5)
O2—C1—C2125.4 (7)N3—C17—C18112.8 (6)
O1—C1—C2112.0 (6)C17—C18—H18A109.5
C3—C2—C1122.6 (6)C17—C18—H18B109.5
C3—C2—C6119.2 (5)H18A—C18—H18B109.5
C1—C2—C6118.1 (6)C17—C18—H18C109.5
C2—C3—N1119.1 (6)H18A—C18—H18C109.5
C2—C3—C4127.4 (5)H18B—C18—H18C109.5
N1—C3—C4113.5 (5)O6—C19—N4123.3 (6)
C3—C4—H4A109.5O6—C19—N3120.3 (6)
C3—C4—H4B109.5N4—C19—N3116.4 (4)
H4A—C4—H4B109.5N4—C20—C21111.0 (4)
C3—C4—H4C109.5N4—C20—C16109.0 (5)
H4A—C4—H4C109.5C21—C20—C16113.0 (5)
H4B—C4—H4C109.5N4—C20—H20107.9
O3—C5—N2123.7 (6)C21—C20—H20107.9
O3—C5—N1120.3 (6)C16—C20—H20107.9
N2—C5—N1116.0 (4)C26—C21—C22117.6 (6)
N2—C6—C7112.1 (5)C26—C21—C20121.1 (5)
N2—C6—C2108.8 (5)C22—C21—C20121.2 (5)
C7—C6—C2111.1 (5)C23—C22—C21120.1 (7)
N2—C6—H6108.3C23—C22—H22119.9
C7—C6—H6108.3C21—C22—H22119.9
C2—C6—H6108.3C24—C23—C22121.5 (7)
C8—C7—C12117.5 (6)C24—C23—H23119.2
C8—C7—C6122.0 (5)C22—C23—H23119.2
C12—C7—C6120.5 (5)C23—C24—C25119.5 (6)
C7—C8—C9121.2 (7)C23—C24—H24120.2
C7—C8—H8119.4C25—C24—H24120.2
C9—C8—H8119.4C24—C25—C26119.3 (7)
C10—C9—C8120.0 (7)C24—C25—H25120.4
C10—C9—H9120.0C26—C25—H25120.4
C8—C9—H9120.0C21—C26—C25122.0 (6)
C11—C10—C9119.7 (7)C21—C26—H26119.0
C11—C10—H10120.1C25—C26—H26119.0
C9—C10—H10120.1O4—C27—C28108.9 (8)
C10—C11—C12120.3 (7)O4—C27—H27A109.9
C10—C11—H11119.8C28—C27—H27A109.9
C12—C11—H11119.8O4—C27—H27B109.9
C11—C12—C7121.3 (6)C28—C27—H27B109.9
C11—C12—H12119.3H27A—C27—H27B108.3
C7—C12—H12119.3C27—C28—H28A109.5
O1—C13—C14108.3 (8)C27—C28—H28B109.5
O1—C13—H13A110.0H28A—C28—H28B109.5
C14—C13—H13A110.0C27—C28—H28C109.5
O1—C13—H13B110.0H28A—C28—H28C109.5
C14—C13—H13B110.0H28B—C28—H28C109.5
C13—O1—C1—O22.5 (10)C27—O4—C15—O50.1 (9)
C13—O1—C1—C2178.7 (6)C27—O4—C15—C16177.3 (6)
O2—C1—C2—C313.8 (10)O5—C15—C16—C176.0 (9)
O1—C1—C2—C3167.3 (5)O4—C15—C16—C17177.0 (5)
O2—C1—C2—C6169.0 (6)O5—C15—C16—C20173.3 (6)
O1—C1—C2—C69.8 (8)O4—C15—C16—C203.8 (7)
C1—C2—C3—N1172.0 (5)C15—C16—C17—N3175.4 (5)
C6—C2—C3—N15.1 (8)C20—C16—C17—N35.4 (8)
C1—C2—C3—C48.0 (10)C15—C16—C17—C184.0 (9)
C6—C2—C3—C4174.9 (6)C20—C16—C17—C18175.3 (6)
C5—N1—C3—C216.4 (8)C19—N3—C17—C1614.0 (8)
C5—N1—C3—C4163.6 (5)C19—N3—C17—C18165.4 (5)
C6—N2—C5—O3165.3 (5)C20—N4—C19—O6160.9 (5)
C6—N2—C5—N116.2 (7)C20—N4—C19—N319.5 (7)
C3—N1—C5—O3167.2 (5)C17—N3—C19—O6172.3 (5)
C3—N1—C5—N211.4 (7)C17—N3—C19—N47.4 (7)
C5—N2—C6—C789.5 (7)C19—N4—C20—C2189.9 (6)
C5—N2—C6—C233.7 (7)C19—N4—C20—C1635.2 (7)
C3—C2—C6—N227.0 (8)C17—C16—C20—N426.9 (7)
C1—C2—C6—N2150.2 (5)C15—C16—C20—N4153.8 (5)
C3—C2—C6—C796.8 (6)C17—C16—C20—C2197.0 (6)
C1—C2—C6—C785.9 (6)C15—C16—C20—C2182.2 (6)
N2—C6—C7—C826.1 (9)N4—C20—C21—C26145.0 (6)
C2—C6—C7—C895.9 (7)C16—C20—C21—C2692.2 (7)
N2—C6—C7—C12155.7 (6)N4—C20—C21—C2238.6 (8)
C2—C6—C7—C1282.3 (7)C16—C20—C21—C2284.2 (7)
C12—C7—C8—C92.5 (12)C26—C21—C22—C230.0 (10)
C6—C7—C8—C9175.8 (8)C20—C21—C22—C23176.5 (6)
C7—C8—C9—C102.2 (14)C21—C22—C23—C240.5 (12)
C8—C9—C10—C110.5 (14)C22—C23—C24—C250.4 (12)
C9—C10—C11—C120.7 (13)C23—C24—C25—C260.2 (12)
C10—C11—C12—C70.4 (12)C22—C21—C26—C250.6 (10)
C8—C7—C12—C111.2 (11)C20—C21—C26—C25177.1 (6)
C6—C7—C12—C11177.1 (7)C24—C25—C26—C210.7 (11)
C1—O1—C13—C14169.7 (8)C15—O4—C27—C28158.3 (8)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1···O6i0.862.172.993 (7)161
N2—H2···O6ii0.862.072.907 (7)166
N3—H3···O3iii0.862.072.927 (7)172
N4—H4···O3iv0.862.152.947 (7)154
Symmetry codes: (i) x, y, z1; (ii) x, y+1, z1; (iii) x, y, z+1; (iv) x, y1, z+1.
 

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