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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×S32

Direct product G=N×Q with N=C22 and Q=C2×S32
dρLabelID
S32×C2348S3^2xC2^3288,1040

Semidirect products G=N:Q with N=C22 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×S32) = C2×S3×S4φ: C2×S32/D6 → S3 ⊆ Aut C22186+C2^2:(C2xS3^2)288,1028
C22⋊2(C2×S32) = S32×D4φ: C2×S32/S32 → C2 ⊆ Aut C22248+C2^2:2(C2xS3^2)288,958
C22⋊3(C2×S32) = C2×S3×C3⋊D4φ: C2×S32/S3×C6 → C2 ⊆ Aut C2248C2^2:3(C2xS3^2)288,976
C22⋊4(C2×S32) = C2×Dic3⋊D6φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C2224C2^2:4(C2xS3^2)288,977

Non-split extensions G=N.Q with N=C22 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C22.1(C2×S32) = Dic6.24D6φ: C2×S32/S32 → C2 ⊆ Aut C22488-C2^2.1(C2xS3^2)288,957
C22.2(C2×S32) = S3×D4⋊2S3φ: C2×S32/S32 → C2 ⊆ Aut C22488-C2^2.2(C2xS3^2)288,959
C22.3(C2×S32) = Dic6⋊12D6φ: C2×S32/S32 → C2 ⊆ Aut C22248+C2^2.3(C2xS3^2)288,960
C22.4(C2×S32) = D12⋊12D6φ: C2×S32/S32 → C2 ⊆ Aut C22488-C2^2.4(C2xS3^2)288,961
C22.5(C2×S32) = D12⋊13D6φ: C2×S32/S32 → C2 ⊆ Aut C22248+C2^2.5(C2xS3^2)288,962
C22.6(C2×S32) = D12.33D6φ: C2×S32/S3×C6 → C2 ⊆ Aut C22484C2^2.6(C2xS3^2)288,945
C22.7(C2×S32) = S3×C4○D12φ: C2×S32/S3×C6 → C2 ⊆ Aut C22484C2^2.7(C2xS3^2)288,953
C22.8(C2×S32) = D12⋊24D6φ: C2×S32/S3×C6 → C2 ⊆ Aut C22484C2^2.8(C2xS3^2)288,955
C22.9(C2×S32) = C2×D6.3D6φ: C2×S32/S3×C6 → C2 ⊆ Aut C2248C2^2.9(C2xS3^2)288,970
C22.10(C2×S32) = C32⋊2+ 1+4φ: C2×S32/S3×C6 → C2 ⊆ Aut C22244C2^2.10(C2xS3^2)288,978
C22.11(C2×S32) = D12.34D6φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C22484-C2^2.11(C2xS3^2)288,946
C22.12(C2×S32) = D12⋊23D6φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C22244C2^2.12(C2xS3^2)288,954
C22.13(C2×S32) = D12⋊27D6φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C22244+C2^2.13(C2xS3^2)288,956
C22.14(C2×S32) = C2×D6.4D6φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C2248C2^2.14(C2xS3^2)288,971
C22.15(C2×S32) = C62.6C23central extension (φ=1)48C2^2.15(C2xS3^2)288,484
C22.16(C2×S32) = Dic3⋊5Dic6central extension (φ=1)96C2^2.16(C2xS3^2)288,485
C22.17(C2×S32) = C62.8C23central extension (φ=1)96C2^2.17(C2xS3^2)288,486
C22.18(C2×S32) = C62.11C23central extension (φ=1)96C2^2.18(C2xS3^2)288,489
C22.19(C2×S32) = Dic3×Dic6central extension (φ=1)96C2^2.19(C2xS3^2)288,490
C22.20(C2×S32) = C62.13C23central extension (φ=1)96C2^2.20(C2xS3^2)288,491
C22.21(C2×S32) = Dic3⋊6Dic6central extension (φ=1)96C2^2.21(C2xS3^2)288,492
C22.22(C2×S32) = C62.19C23central extension (φ=1)48C2^2.22(C2xS3^2)288,497
C22.23(C2×S32) = C62.25C23central extension (φ=1)96C2^2.23(C2xS3^2)288,503
C22.24(C2×S32) = C62.44C23central extension (φ=1)48C2^2.24(C2xS3^2)288,522
C22.25(C2×S32) = C4×S3×Dic3central extension (φ=1)96C2^2.25(C2xS3^2)288,523
C22.26(C2×S32) = S3×Dic3⋊C4central extension (φ=1)96C2^2.26(C2xS3^2)288,524
C22.27(C2×S32) = C62.47C23central extension (φ=1)96C2^2.27(C2xS3^2)288,525
C22.28(C2×S32) = C62.48C23central extension (φ=1)96C2^2.28(C2xS3^2)288,526
C22.29(C2×S32) = C62.49C23central extension (φ=1)96C2^2.29(C2xS3^2)288,527
C22.30(C2×S32) = Dic3⋊4D12central extension (φ=1)48C2^2.30(C2xS3^2)288,528
C22.31(C2×S32) = C62.51C23central extension (φ=1)48C2^2.31(C2xS3^2)288,529
C22.32(C2×S32) = C4×C6.D6central extension (φ=1)48C2^2.32(C2xS3^2)288,530
C22.33(C2×S32) = C62.53C23central extension (φ=1)48C2^2.33(C2xS3^2)288,531
C22.34(C2×S32) = S3×C4⋊Dic3central extension (φ=1)96C2^2.34(C2xS3^2)288,537
C22.35(C2×S32) = Dic3×D12central extension (φ=1)96C2^2.35(C2xS3^2)288,540
C22.36(C2×S32) = Dic3⋊5D12central extension (φ=1)48C2^2.36(C2xS3^2)288,542
C22.37(C2×S32) = D12⋊Dic3central extension (φ=1)96C2^2.37(C2xS3^2)288,546
C22.38(C2×S32) = C62.70C23central extension (φ=1)48C2^2.38(C2xS3^2)288,548
C22.39(C2×S32) = C4×D6⋊S3central extension (φ=1)96C2^2.39(C2xS3^2)288,549
C22.40(C2×S32) = C62.72C23central extension (φ=1)96C2^2.40(C2xS3^2)288,550
C22.41(C2×S32) = C4×C3⋊D12central extension (φ=1)48C2^2.41(C2xS3^2)288,551
C22.42(C2×S32) = C62.74C23central extension (φ=1)48C2^2.42(C2xS3^2)288,552
C22.43(C2×S32) = C4×C32⋊2Q8central extension (φ=1)96C2^2.43(C2xS3^2)288,565
C22.44(C2×S32) = S3×D6⋊C4central extension (φ=1)48C2^2.44(C2xS3^2)288,568
C22.45(C2×S32) = C62.91C23central extension (φ=1)48C2^2.45(C2xS3^2)288,569
C22.46(C2×S32) = C62.94C23central extension (φ=1)48C2^2.46(C2xS3^2)288,600
C22.47(C2×S32) = C2×Dic32central extension (φ=1)96C2^2.47(C2xS3^2)288,602
C22.48(C2×S32) = C62.97C23central extension (φ=1)48C2^2.48(C2xS3^2)288,603
C22.49(C2×S32) = C62.99C23central extension (φ=1)48C2^2.49(C2xS3^2)288,605
C22.50(C2×S32) = C2×D6⋊Dic3central extension (φ=1)96C2^2.50(C2xS3^2)288,608
C22.51(C2×S32) = C2×C6.D12central extension (φ=1)48C2^2.51(C2xS3^2)288,611
C22.52(C2×S32) = C2×Dic3⋊Dic3central extension (φ=1)96C2^2.52(C2xS3^2)288,613
C22.53(C2×S32) = C2×C62.C22central extension (φ=1)96C2^2.53(C2xS3^2)288,615
C22.54(C2×S32) = S3×C6.D4central extension (φ=1)48C2^2.54(C2xS3^2)288,616
C22.55(C2×S32) = Dic3×C3⋊D4central extension (φ=1)48C2^2.55(C2xS3^2)288,620
C22.56(C2×S32) = C62.115C23central extension (φ=1)48C2^2.56(C2xS3^2)288,621
C22.57(C2×S32) = C62.116C23central extension (φ=1)24C2^2.57(C2xS3^2)288,622
C22.58(C2×S32) = C2×S3×Dic6central extension (φ=1)96C2^2.58(C2xS3^2)288,942
C22.59(C2×S32) = C2×D12⋊5S3central extension (φ=1)96C2^2.59(C2xS3^2)288,943
C22.60(C2×S32) = C2×D12⋊S3central extension (φ=1)48C2^2.60(C2xS3^2)288,944
C22.61(C2×S32) = C2×Dic3.D6central extension (φ=1)48C2^2.61(C2xS3^2)288,947
C22.62(C2×S32) = C2×D6.D6central extension (φ=1)48C2^2.62(C2xS3^2)288,948
C22.63(C2×S32) = C2×D6.6D6central extension (φ=1)48C2^2.63(C2xS3^2)288,949
C22.64(C2×S32) = S32×C2×C4central extension (φ=1)48C2^2.64(C2xS3^2)288,950
C22.65(C2×S32) = C2×S3×D12central extension (φ=1)48C2^2.65(C2xS3^2)288,951
C22.66(C2×S32) = C2×D6⋊D6central extension (φ=1)48C2^2.66(C2xS3^2)288,952
C22.67(C2×S32) = C22×S3×Dic3central extension (φ=1)96C2^2.67(C2xS3^2)288,969
C22.68(C2×S32) = C22×C6.D6central extension (φ=1)48C2^2.68(C2xS3^2)288,972
C22.69(C2×S32) = C22×D6⋊S3central extension (φ=1)96C2^2.69(C2xS3^2)288,973
C22.70(C2×S32) = C22×C3⋊D12central extension (φ=1)48C2^2.70(C2xS3^2)288,974
C22.71(C2×S32) = C22×C32⋊2Q8central extension (φ=1)96C2^2.71(C2xS3^2)288,975
C22.72(C2×S32) = C62.9C23central stem extension (φ=1)96C2^2.72(C2xS3^2)288,487
C22.73(C2×S32) = C62.10C23central stem extension (φ=1)96C2^2.73(C2xS3^2)288,488
C22.74(C2×S32) = Dic3.Dic6central stem extension (φ=1)96C2^2.74(C2xS3^2)288,493
C22.75(C2×S32) = C62.16C23central stem extension (φ=1)96C2^2.75(C2xS3^2)288,494
C22.76(C2×S32) = C62.17C23central stem extension (φ=1)96C2^2.76(C2xS3^2)288,495
C22.77(C2×S32) = C62.18C23central stem extension (φ=1)48C2^2.77(C2xS3^2)288,496
C22.78(C2×S32) = C62.20C23central stem extension (φ=1)48C2^2.78(C2xS3^2)288,498
C22.79(C2×S32) = D6⋊Dic6central stem extension (φ=1)96C2^2.79(C2xS3^2)288,499
C22.80(C2×S32) = Dic3.D12central stem extension (φ=1)48C2^2.80(C2xS3^2)288,500
C22.81(C2×S32) = C62.23C23central stem extension (φ=1)48C2^2.81(C2xS3^2)288,501
C22.82(C2×S32) = C62.24C23central stem extension (φ=1)48C2^2.82(C2xS3^2)288,502
C22.83(C2×S32) = D6⋊6Dic6central stem extension (φ=1)96C2^2.83(C2xS3^2)288,504
C22.84(C2×S32) = D6⋊7Dic6central stem extension (φ=1)96C2^2.84(C2xS3^2)288,505
C22.85(C2×S32) = C62.28C23central stem extension (φ=1)96C2^2.85(C2xS3^2)288,506
C22.86(C2×S32) = C62.29C23central stem extension (φ=1)96C2^2.86(C2xS3^2)288,507
C22.87(C2×S32) = C12.27D12central stem extension (φ=1)96C2^2.87(C2xS3^2)288,508
C22.88(C2×S32) = C62.31C23central stem extension (φ=1)96C2^2.88(C2xS3^2)288,509
C22.89(C2×S32) = C62.32C23central stem extension (φ=1)96C2^2.89(C2xS3^2)288,510
C22.90(C2×S32) = C62.33C23central stem extension (φ=1)96C2^2.90(C2xS3^2)288,511
C22.91(C2×S32) = C12.28D12central stem extension (φ=1)48C2^2.91(C2xS3^2)288,512
C22.92(C2×S32) = C62.35C23central stem extension (φ=1)48C2^2.92(C2xS3^2)288,513
C22.93(C2×S32) = Dic3⋊Dic6central stem extension (φ=1)96C2^2.93(C2xS3^2)288,514
C22.94(C2×S32) = C62.37C23central stem extension (φ=1)96C2^2.94(C2xS3^2)288,515
C22.95(C2×S32) = C62.38C23central stem extension (φ=1)48C2^2.95(C2xS3^2)288,516
C22.96(C2×S32) = C62.39C23central stem extension (φ=1)96C2^2.96(C2xS3^2)288,517
C22.97(C2×S32) = C62.40C23central stem extension (φ=1)96C2^2.97(C2xS3^2)288,518
C22.98(C2×S32) = C12.30D12central stem extension (φ=1)48C2^2.98(C2xS3^2)288,519
C22.99(C2×S32) = C62.42C23central stem extension (φ=1)96C2^2.99(C2xS3^2)288,520
C22.100(C2×S32) = C62.43C23central stem extension (φ=1)96C2^2.100(C2xS3^2)288,521
C22.101(C2×S32) = C62.54C23central stem extension (φ=1)96C2^2.101(C2xS3^2)288,532
C22.102(C2×S32) = C62.55C23central stem extension (φ=1)96C2^2.102(C2xS3^2)288,533
C22.103(C2×S32) = Dic3⋊D12central stem extension (φ=1)48C2^2.103(C2xS3^2)288,534
C22.104(C2×S32) = D6⋊1Dic6central stem extension (φ=1)96C2^2.104(C2xS3^2)288,535
C22.105(C2×S32) = C62.58C23central stem extension (φ=1)48C2^2.105(C2xS3^2)288,536
C22.106(C2×S32) = D6.D12central stem extension (φ=1)48C2^2.106(C2xS3^2)288,538
C22.107(C2×S32) = D6.9D12central stem extension (φ=1)96C2^2.107(C2xS3^2)288,539
C22.108(C2×S32) = D6⋊2Dic6central stem extension (φ=1)96C2^2.108(C2xS3^2)288,541
C22.109(C2×S32) = C62.65C23central stem extension (φ=1)48C2^2.109(C2xS3^2)288,543
C22.110(C2×S32) = D6⋊3Dic6central stem extension (φ=1)96C2^2.110(C2xS3^2)288,544
C22.111(C2×S32) = C62.67C23central stem extension (φ=1)48C2^2.111(C2xS3^2)288,545
C22.112(C2×S32) = D6⋊4Dic6central stem extension (φ=1)96C2^2.112(C2xS3^2)288,547
C22.113(C2×S32) = C62.75C23central stem extension (φ=1)96C2^2.113(C2xS3^2)288,553
C22.114(C2×S32) = D6⋊D12central stem extension (φ=1)48C2^2.114(C2xS3^2)288,554
C22.115(C2×S32) = C62.77C23central stem extension (φ=1)48C2^2.115(C2xS3^2)288,555
C22.116(C2×S32) = D6⋊2D12central stem extension (φ=1)96C2^2.116(C2xS3^2)288,556
C22.117(C2×S32) = C12⋊7D12central stem extension (φ=1)48C2^2.117(C2xS3^2)288,557
C22.118(C2×S32) = Dic3⋊3D12central stem extension (φ=1)48C2^2.118(C2xS3^2)288,558
C22.119(C2×S32) = C12⋊D12central stem extension (φ=1)48C2^2.119(C2xS3^2)288,559
C22.120(C2×S32) = C62.82C23central stem extension (φ=1)48C2^2.120(C2xS3^2)288,560
C22.121(C2×S32) = C62.83C23central stem extension (φ=1)96C2^2.121(C2xS3^2)288,561
C22.122(C2×S32) = C62.84C23central stem extension (φ=1)96C2^2.122(C2xS3^2)288,562
C22.123(C2×S32) = C62.85C23central stem extension (φ=1)96C2^2.123(C2xS3^2)288,563
C22.124(C2×S32) = C12⋊2D12central stem extension (φ=1)48C2^2.124(C2xS3^2)288,564
C22.125(C2×S32) = C12⋊3Dic6central stem extension (φ=1)96C2^2.125(C2xS3^2)288,566
C22.126(C2×S32) = C12⋊Dic6central stem extension (φ=1)96C2^2.126(C2xS3^2)288,567
C22.127(C2×S32) = D6⋊4D12central stem extension (φ=1)48C2^2.127(C2xS3^2)288,570
C22.128(C2×S32) = D6⋊5D12central stem extension (φ=1)48C2^2.128(C2xS3^2)288,571
C22.129(C2×S32) = C62.95C23central stem extension (φ=1)48C2^2.129(C2xS3^2)288,601
C22.130(C2×S32) = C62.98C23central stem extension (φ=1)48C2^2.130(C2xS3^2)288,604
C22.131(C2×S32) = C62.100C23central stem extension (φ=1)48C2^2.131(C2xS3^2)288,606
C22.132(C2×S32) = C62.101C23central stem extension (φ=1)48C2^2.132(C2xS3^2)288,607
C22.133(C2×S32) = C62.56D4central stem extension (φ=1)48C2^2.133(C2xS3^2)288,609
C22.134(C2×S32) = C62.57D4central stem extension (φ=1)48C2^2.134(C2xS3^2)288,610
C22.135(C2×S32) = C62⋊3Q8central stem extension (φ=1)48C2^2.135(C2xS3^2)288,612
C22.136(C2×S32) = C62.60D4central stem extension (φ=1)48C2^2.136(C2xS3^2)288,614
C22.137(C2×S32) = C62.111C23central stem extension (φ=1)48C2^2.137(C2xS3^2)288,617
C22.138(C2×S32) = C62.112C23central stem extension (φ=1)48C2^2.138(C2xS3^2)288,618
C22.139(C2×S32) = C62.113C23central stem extension (φ=1)48C2^2.139(C2xS3^2)288,619
C22.140(C2×S32) = C62.117C23central stem extension (φ=1)48C2^2.140(C2xS3^2)288,623
C22.141(C2×S32) = C62⋊4D4central stem extension (φ=1)48C2^2.141(C2xS3^2)288,624
C22.142(C2×S32) = C62⋊5D4central stem extension (φ=1)48C2^2.142(C2xS3^2)288,625
C22.143(C2×S32) = C62⋊6D4central stem extension (φ=1)48C2^2.143(C2xS3^2)288,626
C22.144(C2×S32) = C62.121C23central stem extension (φ=1)48C2^2.144(C2xS3^2)288,627
C22.145(C2×S32) = C62⋊7D4central stem extension (φ=1)48C2^2.145(C2xS3^2)288,628
C22.146(C2×S32) = C62⋊8D4central stem extension (φ=1)24C2^2.146(C2xS3^2)288,629
C22.147(C2×S32) = C62⋊4Q8central stem extension (φ=1)48C2^2.147(C2xS3^2)288,630
C22.148(C2×S32) = C62.125C23central stem extension (φ=1)48C2^2.148(C2xS3^2)288,631

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