Extensions 1→N→G→Q→1 with N=C4 and Q=C2×S32

Direct product G=N×Q with N=C4 and Q=C2×S32
dρLabelID
S32×C2×C448S3^2xC2xC4288,950

Semidirect products G=N:Q with N=C4 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C41(C2×S32) = S32×D4φ: C2×S32/S32C2 ⊆ Aut C4248+C4:1(C2xS3^2)288,958
C42(C2×S32) = C2×S3×D12φ: C2×S32/S3×C6C2 ⊆ Aut C448C4:2(C2xS3^2)288,951
C43(C2×S32) = C2×D6⋊D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C448C4:3(C2xS3^2)288,952

Non-split extensions G=N.Q with N=C4 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C4.1(C2×S32) = S3×D4⋊S3φ: C2×S32/S32C2 ⊆ Aut C4488+C4.1(C2xS3^2)288,572
C4.2(C2×S32) = Dic63D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.2(C2xS3^2)288,573
C4.3(C2×S32) = D12⋊D6φ: C2×S32/S32C2 ⊆ Aut C4248+C4.3(C2xS3^2)288,574
C4.4(C2×S32) = D12.D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.4(C2xS3^2)288,575
C4.5(C2×S32) = S3×D4.S3φ: C2×S32/S32C2 ⊆ Aut C4488-C4.5(C2xS3^2)288,576
C4.6(C2×S32) = Dic6.19D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.6(C2xS3^2)288,577
C4.7(C2×S32) = Dic6⋊D6φ: C2×S32/S32C2 ⊆ Aut C4248+C4.7(C2xS3^2)288,578
C4.8(C2×S32) = Dic6.D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.8(C2xS3^2)288,579
C4.9(C2×S32) = D129D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.9(C2xS3^2)288,580
C4.10(C2×S32) = D12.22D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.10(C2xS3^2)288,581
C4.11(C2×S32) = D12.7D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.11(C2xS3^2)288,582
C4.12(C2×S32) = Dic6.20D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.12(C2xS3^2)288,583
C4.13(C2×S32) = D12.8D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.13(C2xS3^2)288,584
C4.14(C2×S32) = D125D6φ: C2×S32/S32C2 ⊆ Aut C4248+C4.14(C2xS3^2)288,585
C4.15(C2×S32) = S3×Q82S3φ: C2×S32/S32C2 ⊆ Aut C4488+C4.15(C2xS3^2)288,586
C4.16(C2×S32) = D126D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.16(C2xS3^2)288,587
C4.17(C2×S32) = D12.9D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.17(C2xS3^2)288,588
C4.18(C2×S32) = D12.10D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.18(C2xS3^2)288,589
C4.19(C2×S32) = S3×C3⋊Q16φ: C2×S32/S32C2 ⊆ Aut C4968-C4.19(C2xS3^2)288,590
C4.20(C2×S32) = D12.11D6φ: C2×S32/S32C2 ⊆ Aut C4968-C4.20(C2xS3^2)288,591
C4.21(C2×S32) = Dic6.9D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.21(C2xS3^2)288,592
C4.22(C2×S32) = Dic6.10D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.22(C2xS3^2)288,593
C4.23(C2×S32) = D12.24D6φ: C2×S32/S32C2 ⊆ Aut C4968-C4.23(C2xS3^2)288,594
C4.24(C2×S32) = D12.12D6φ: C2×S32/S32C2 ⊆ Aut C4968-C4.24(C2xS3^2)288,595
C4.25(C2×S32) = Dic6.22D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.25(C2xS3^2)288,596
C4.26(C2×S32) = D12.13D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.26(C2xS3^2)288,597
C4.27(C2×S32) = D12.14D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.27(C2xS3^2)288,598
C4.28(C2×S32) = D12.15D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.28(C2xS3^2)288,599
C4.29(C2×S32) = Dic6.24D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.29(C2xS3^2)288,957
C4.30(C2×S32) = S3×D42S3φ: C2×S32/S32C2 ⊆ Aut C4488-C4.30(C2xS3^2)288,959
C4.31(C2×S32) = Dic612D6φ: C2×S32/S32C2 ⊆ Aut C4248+C4.31(C2xS3^2)288,960
C4.32(C2×S32) = D1212D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.32(C2xS3^2)288,961
C4.33(C2×S32) = D1213D6φ: C2×S32/S32C2 ⊆ Aut C4248+C4.33(C2xS3^2)288,962
C4.34(C2×S32) = D12.25D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.34(C2xS3^2)288,963
C4.35(C2×S32) = Dic6.26D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.35(C2xS3^2)288,964
C4.36(C2×S32) = S32×Q8φ: C2×S32/S32C2 ⊆ Aut C4488-C4.36(C2xS3^2)288,965
C4.37(C2×S32) = S3×Q83S3φ: C2×S32/S32C2 ⊆ Aut C4488+C4.37(C2xS3^2)288,966
C4.38(C2×S32) = D1215D6φ: C2×S32/S32C2 ⊆ Aut C4488-C4.38(C2xS3^2)288,967
C4.39(C2×S32) = D1216D6φ: C2×S32/S32C2 ⊆ Aut C4488+C4.39(C2xS3^2)288,968
C4.40(C2×S32) = S3×C24⋊C2φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.40(C2xS3^2)288,440
C4.41(C2×S32) = S3×D24φ: C2×S32/S3×C6C2 ⊆ Aut C4484+C4.41(C2xS3^2)288,441
C4.42(C2×S32) = C241D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484+C4.42(C2xS3^2)288,442
C4.43(C2×S32) = D24⋊S3φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.43(C2xS3^2)288,443
C4.44(C2×S32) = S3×Dic12φ: C2×S32/S3×C6C2 ⊆ Aut C4964-C4.44(C2xS3^2)288,447
C4.45(C2×S32) = C24.3D6φ: C2×S32/S3×C6C2 ⊆ Aut C4964-C4.45(C2xS3^2)288,448
C4.46(C2×S32) = Dic12⋊S3φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.46(C2xS3^2)288,449
C4.47(C2×S32) = D6.1D12φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.47(C2xS3^2)288,454
C4.48(C2×S32) = D247S3φ: C2×S32/S3×C6C2 ⊆ Aut C4964-C4.48(C2xS3^2)288,455
C4.49(C2×S32) = D6.3D12φ: C2×S32/S3×C6C2 ⊆ Aut C4484+C4.49(C2xS3^2)288,456
C4.50(C2×S32) = C2×C3⋊D24φ: C2×S32/S3×C6C2 ⊆ Aut C448C4.50(C2xS3^2)288,472
C4.51(C2×S32) = D1218D6φ: C2×S32/S3×C6C2 ⊆ Aut C4244+C4.51(C2xS3^2)288,473
C4.52(C2×S32) = C2×D12.S3φ: C2×S32/S3×C6C2 ⊆ Aut C496C4.52(C2xS3^2)288,476
C4.53(C2×S32) = D12.27D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.53(C2xS3^2)288,477
C4.54(C2×S32) = D12.28D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.54(C2xS3^2)288,478
C4.55(C2×S32) = D12.29D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484-C4.55(C2xS3^2)288,479
C4.56(C2×S32) = C2×C325SD16φ: C2×S32/S3×C6C2 ⊆ Aut C448C4.56(C2xS3^2)288,480
C4.57(C2×S32) = Dic6.29D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.57(C2xS3^2)288,481
C4.58(C2×S32) = C2×C323Q16φ: C2×S32/S3×C6C2 ⊆ Aut C496C4.58(C2xS3^2)288,483
C4.59(C2×S32) = C2×S3×Dic6φ: C2×S32/S3×C6C2 ⊆ Aut C496C4.59(C2xS3^2)288,942
C4.60(C2×S32) = C2×D125S3φ: C2×S32/S3×C6C2 ⊆ Aut C496C4.60(C2xS3^2)288,943
C4.61(C2×S32) = D12.33D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484C4.61(C2xS3^2)288,945
C4.62(C2×S32) = D12.34D6φ: C2×S32/S3×C6C2 ⊆ Aut C4484-C4.62(C2xS3^2)288,946
C4.63(C2×S32) = C2×D6.6D6φ: C2×S32/S3×C6C2 ⊆ Aut C448C4.63(C2xS3^2)288,949
C4.64(C2×S32) = D1227D6φ: C2×S32/S3×C6C2 ⊆ Aut C4244+C4.64(C2xS3^2)288,956
C4.65(C2×S32) = C249D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.65(C2xS3^2)288,444
C4.66(C2×S32) = C244D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.66(C2xS3^2)288,445
C4.67(C2×S32) = C246D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.67(C2xS3^2)288,446
C4.68(C2×S32) = C24.23D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.68(C2xS3^2)288,450
C4.69(C2×S32) = D12.2D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.69(C2xS3^2)288,457
C4.70(C2×S32) = D245S3φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.70(C2xS3^2)288,458
C4.71(C2×S32) = D12.4D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.71(C2xS3^2)288,459
C4.72(C2×S32) = C2×C322D8φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C496C4.72(C2xS3^2)288,469
C4.73(C2×S32) = D12.30D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.73(C2xS3^2)288,470
C4.74(C2×S32) = D1220D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.74(C2xS3^2)288,471
C4.75(C2×S32) = C2×Dic6⋊S3φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C496C4.75(C2xS3^2)288,474
C4.76(C2×S32) = D12.32D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.76(C2xS3^2)288,475
C4.77(C2×S32) = C2×C322Q16φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C496C4.77(C2xS3^2)288,482
C4.78(C2×S32) = C2×D12⋊S3φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C448C4.78(C2xS3^2)288,944
C4.79(C2×S32) = C2×Dic3.D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C448C4.79(C2xS3^2)288,947
C4.80(C2×S32) = D1224D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C4484C4.80(C2xS3^2)288,955
C4.81(C2×S32) = S32×C8central extension (φ=1)484C4.81(C2xS3^2)288,437
C4.82(C2×S32) = S3×C8⋊S3central extension (φ=1)484C4.82(C2xS3^2)288,438
C4.83(C2×S32) = C24⋊D6central extension (φ=1)484C4.83(C2xS3^2)288,439
C4.84(C2×S32) = C24.63D6central extension (φ=1)484C4.84(C2xS3^2)288,451
C4.85(C2×S32) = C24.64D6central extension (φ=1)484C4.85(C2xS3^2)288,452
C4.86(C2×S32) = C24.D6central extension (φ=1)484C4.86(C2xS3^2)288,453
C4.87(C2×S32) = C2×S3×C3⋊C8central extension (φ=1)96C4.87(C2xS3^2)288,460
C4.88(C2×S32) = S3×C4.Dic3central extension (φ=1)484C4.88(C2xS3^2)288,461
C4.89(C2×S32) = D12.2Dic3central extension (φ=1)484C4.89(C2xS3^2)288,462
C4.90(C2×S32) = D12.Dic3central extension (φ=1)484C4.90(C2xS3^2)288,463
C4.91(C2×S32) = C2×C12.29D6central extension (φ=1)48C4.91(C2xS3^2)288,464
C4.92(C2×S32) = C3⋊C8.22D6central extension (φ=1)484C4.92(C2xS3^2)288,465
C4.93(C2×S32) = C3⋊C820D6central extension (φ=1)244C4.93(C2xS3^2)288,466
C4.94(C2×S32) = C2×D6.Dic3central extension (φ=1)96C4.94(C2xS3^2)288,467
C4.95(C2×S32) = C2×C12.31D6central extension (φ=1)48C4.95(C2xS3^2)288,468
C4.96(C2×S32) = C2×D6.D6central extension (φ=1)48C4.96(C2xS3^2)288,948
C4.97(C2×S32) = S3×C4○D12central extension (φ=1)484C4.97(C2xS3^2)288,953
C4.98(C2×S32) = D1223D6central extension (φ=1)244C4.98(C2xS3^2)288,954

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