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Extensions 1→N→G→Q→1 with N=C6 and Q=D4⋊2S3

Direct product G=N×Q with N=C6 and Q=D4⋊2S3
dρLabelID
C6×D4⋊2S348C6xD4:2S3288,993

Semidirect products G=N:Q with N=C6 and Q=D4⋊2S3
extensionφ:Q→Aut NdρLabelID
C6⋊1(D4⋊2S3) = C2×D12⋊S3φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6:1(D4:2S3)288,944
C6⋊2(D4⋊2S3) = C2×D12⋊5S3φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6:2(D4:2S3)288,943
C6⋊3(D4⋊2S3) = C2×D6.3D6φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6:3(D4:2S3)288,970
C6⋊4(D4⋊2S3) = C2×D6.4D6φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6:4(D4:2S3)288,971
C6⋊5(D4⋊2S3) = C2×C12.D6φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6:5(D4:2S3)288,1008

Non-split extensions G=N.Q with N=C6 and Q=D4⋊2S3
extensionφ:Q→Aut NdρLabelID
C6.1(D4⋊2S3) = C62.13C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C696C6.1(D4:2S3)288,491
C6.2(D4⋊2S3) = C62.19C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.2(D4:2S3)288,497
C6.3(D4⋊2S3) = C62.23C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.3(D4:2S3)288,501
C6.4(D4⋊2S3) = C62.33C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C696C6.4(D4:2S3)288,511
C6.5(D4⋊2S3) = C12.30D12φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.5(D4:2S3)288,519
C6.6(D4⋊2S3) = C62.42C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C696C6.6(D4:2S3)288,520
C6.7(D4⋊2S3) = C62.51C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.7(D4:2S3)288,529
C6.8(D4⋊2S3) = Dic3⋊D12φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.8(D4:2S3)288,534
C6.9(D4⋊2S3) = D6⋊1Dic6φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C696C6.9(D4:2S3)288,535
C6.10(D4⋊2S3) = D12⋊Dic3φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C696C6.10(D4:2S3)288,546
C6.11(D4⋊2S3) = C62.77C23φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.11(D4:2S3)288,555
C6.12(D4⋊2S3) = C12⋊2D12φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C648C6.12(D4:2S3)288,564
C6.13(D4⋊2S3) = C62.11C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.13(D4:2S3)288,489
C6.14(D4⋊2S3) = Dic3⋊6Dic6φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.14(D4:2S3)288,492
C6.15(D4⋊2S3) = D6⋊7Dic6φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.15(D4:2S3)288,505
C6.16(D4⋊2S3) = C62.29C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.16(D4:2S3)288,507
C6.17(D4⋊2S3) = C12.27D12φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.17(D4:2S3)288,508
C6.18(D4⋊2S3) = C62.31C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.18(D4:2S3)288,509
C6.19(D4⋊2S3) = C62.39C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.19(D4:2S3)288,517
C6.20(D4⋊2S3) = C62.49C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.20(D4:2S3)288,527
C6.21(D4⋊2S3) = C62.54C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.21(D4:2S3)288,532
C6.22(D4⋊2S3) = C62.55C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.22(D4:2S3)288,533
C6.23(D4⋊2S3) = D6.9D12φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.23(D4:2S3)288,539
C6.24(D4⋊2S3) = Dic3×D12φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.24(D4:2S3)288,540
C6.25(D4⋊2S3) = D6⋊3Dic6φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.25(D4:2S3)288,544
C6.26(D4⋊2S3) = C62.75C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.26(D4:2S3)288,553
C6.27(D4⋊2S3) = D6⋊2D12φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.27(D4:2S3)288,556
C6.28(D4⋊2S3) = C62.83C23φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C696C6.28(D4:2S3)288,561
C6.29(D4⋊2S3) = C62.6C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.29(D4:2S3)288,484
C6.30(D4⋊2S3) = Dic3⋊5Dic6φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.30(D4:2S3)288,485
C6.31(D4⋊2S3) = C62.16C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.31(D4:2S3)288,494
C6.32(D4⋊2S3) = C62.17C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.32(D4:2S3)288,495
C6.33(D4⋊2S3) = C62.18C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.33(D4:2S3)288,496
C6.34(D4⋊2S3) = Dic3.D12φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.34(D4:2S3)288,500
C6.35(D4⋊2S3) = C62.24C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.35(D4:2S3)288,502
C6.36(D4⋊2S3) = C62.28C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.36(D4:2S3)288,506
C6.37(D4⋊2S3) = C62.37C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.37(D4:2S3)288,515
C6.38(D4⋊2S3) = C62.38C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.38(D4:2S3)288,516
C6.39(D4⋊2S3) = C62.47C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.39(D4:2S3)288,525
C6.40(D4⋊2S3) = Dic3⋊4D12φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.40(D4:2S3)288,528
C6.41(D4⋊2S3) = D6.D12φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.41(D4:2S3)288,538
C6.42(D4⋊2S3) = C62.65C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.42(D4:2S3)288,543
C6.43(D4⋊2S3) = D6⋊4Dic6φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C696C6.43(D4:2S3)288,547
C6.44(D4⋊2S3) = C62.94C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.44(D4:2S3)288,600
C6.45(D4⋊2S3) = C62.95C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.45(D4:2S3)288,601
C6.46(D4⋊2S3) = C62.97C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.46(D4:2S3)288,603
C6.47(D4⋊2S3) = C62.98C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.47(D4:2S3)288,604
C6.48(D4⋊2S3) = C62.100C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.48(D4:2S3)288,606
C6.49(D4⋊2S3) = C62.101C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.49(D4:2S3)288,607
C6.50(D4⋊2S3) = C62.56D4φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.50(D4:2S3)288,609
C6.51(D4⋊2S3) = C62⋊3Q8φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.51(D4:2S3)288,612
C6.52(D4⋊2S3) = C62.60D4φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.52(D4:2S3)288,614
C6.53(D4⋊2S3) = C62.111C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.53(D4:2S3)288,617
C6.54(D4⋊2S3) = C62.113C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.54(D4:2S3)288,619
C6.55(D4⋊2S3) = Dic3×C3⋊D4φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.55(D4:2S3)288,620
C6.56(D4⋊2S3) = C62.117C23φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.56(D4:2S3)288,623
C6.57(D4⋊2S3) = C62⋊6D4φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C648C6.57(D4:2S3)288,626
C6.58(D4⋊2S3) = C62.8C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.58(D4:2S3)288,486
C6.59(D4⋊2S3) = Dic3.Dic6φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.59(D4:2S3)288,493
C6.60(D4⋊2S3) = C62.32C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.60(D4:2S3)288,510
C6.61(D4⋊2S3) = C62.40C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.61(D4:2S3)288,518
C6.62(D4⋊2S3) = C62.48C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.62(D4:2S3)288,526
C6.63(D4⋊2S3) = D6⋊2Dic6φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.63(D4:2S3)288,541
C6.64(D4⋊2S3) = C62.72C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.64(D4:2S3)288,550
C6.65(D4⋊2S3) = C62.85C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C696C6.65(D4:2S3)288,563
C6.66(D4⋊2S3) = C62.99C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.66(D4:2S3)288,605
C6.67(D4⋊2S3) = C62.57D4φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.67(D4:2S3)288,610
C6.68(D4⋊2S3) = C62.112C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.68(D4:2S3)288,618
C6.69(D4⋊2S3) = C62.115C23φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.69(D4:2S3)288,621
C6.70(D4⋊2S3) = C62⋊7D4φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.70(D4:2S3)288,628
C6.71(D4⋊2S3) = C62⋊4Q8φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C648C6.71(D4:2S3)288,630
C6.72(D4⋊2S3) = C23.16D18φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.72(D4:2S3)288,87
C6.73(D4⋊2S3) = C22⋊2Dic18φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.73(D4:2S3)288,88
C6.74(D4⋊2S3) = C23.8D18φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.74(D4:2S3)288,89
C6.75(D4⋊2S3) = Dic9⋊4D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.75(D4:2S3)288,91
C6.76(D4⋊2S3) = C23.9D18φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.76(D4:2S3)288,93
C6.77(D4⋊2S3) = Dic9.D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.77(D4:2S3)288,95
C6.78(D4⋊2S3) = C22.4D36φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.78(D4:2S3)288,96
C6.79(D4⋊2S3) = Dic9⋊3Q8φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.79(D4:2S3)288,97
C6.80(D4⋊2S3) = Dic9.Q8φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.80(D4:2S3)288,99
C6.81(D4⋊2S3) = C36.3Q8φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.81(D4:2S3)288,100
C6.82(D4⋊2S3) = C4⋊C4⋊7D9φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.82(D4:2S3)288,102
C6.83(D4⋊2S3) = D18⋊2Q8φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.83(D4:2S3)288,107
C6.84(D4⋊2S3) = C4⋊C4⋊D9φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.84(D4:2S3)288,108
C6.85(D4⋊2S3) = D4×Dic9φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.85(D4:2S3)288,144
C6.86(D4⋊2S3) = C23.23D18φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.86(D4:2S3)288,145
C6.87(D4⋊2S3) = C36.17D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.87(D4:2S3)288,146
C6.88(D4⋊2S3) = C36⋊2D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.88(D4:2S3)288,148
C6.89(D4⋊2S3) = Dic9⋊D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.89(D4:2S3)288,149
C6.90(D4⋊2S3) = C2×D4⋊2D9φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.90(D4:2S3)288,357
C6.91(D4⋊2S3) = C62.221C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.91(D4:2S3)288,734
C6.92(D4⋊2S3) = C62⋊6Q8φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.92(D4:2S3)288,735
C6.93(D4⋊2S3) = C62.223C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.93(D4:2S3)288,736
C6.94(D4⋊2S3) = C62.225C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.94(D4:2S3)288,738
C6.95(D4⋊2S3) = C62.227C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.95(D4:2S3)288,740
C6.96(D4⋊2S3) = C62.229C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.96(D4:2S3)288,742
C6.97(D4⋊2S3) = C62.69D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.97(D4:2S3)288,743
C6.98(D4⋊2S3) = C62.231C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.98(D4:2S3)288,744
C6.99(D4⋊2S3) = C62.233C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.99(D4:2S3)288,746
C6.100(D4⋊2S3) = C62.234C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6288C6.100(D4:2S3)288,747
C6.101(D4⋊2S3) = C62.236C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.101(D4:2S3)288,749
C6.102(D4⋊2S3) = C12.31D12φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.102(D4:2S3)288,754
C6.103(D4⋊2S3) = C62.242C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.103(D4:2S3)288,755
C6.104(D4⋊2S3) = D4×C3⋊Dic3φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.104(D4:2S3)288,791
C6.105(D4⋊2S3) = C62.72D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.105(D4:2S3)288,792
C6.106(D4⋊2S3) = C62.254C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.106(D4:2S3)288,793
C6.107(D4⋊2S3) = C62.256C23φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.107(D4:2S3)288,795
C6.108(D4⋊2S3) = C62⋊14D4φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C6144C6.108(D4:2S3)288,796
C6.109(D4⋊2S3) = C3×C23.16D6central extension (φ=1)48C6.109(D4:2S3)288,648
C6.110(D4⋊2S3) = C3×Dic3.D4central extension (φ=1)48C6.110(D4:2S3)288,649
C6.111(D4⋊2S3) = C3×C23.8D6central extension (φ=1)48C6.111(D4:2S3)288,650
C6.112(D4⋊2S3) = C3×Dic3⋊4D4central extension (φ=1)48C6.112(D4:2S3)288,652
C6.113(D4⋊2S3) = C3×C23.9D6central extension (φ=1)48C6.113(D4:2S3)288,654
C6.114(D4⋊2S3) = C3×C23.11D6central extension (φ=1)48C6.114(D4:2S3)288,656
C6.115(D4⋊2S3) = C3×C23.21D6central extension (φ=1)48C6.115(D4:2S3)288,657
C6.116(D4⋊2S3) = C3×Dic6⋊C4central extension (φ=1)96C6.116(D4:2S3)288,658
C6.117(D4⋊2S3) = C3×Dic3.Q8central extension (φ=1)96C6.117(D4:2S3)288,660
C6.118(D4⋊2S3) = C3×C4.Dic6central extension (φ=1)96C6.118(D4:2S3)288,661
C6.119(D4⋊2S3) = C3×C4⋊C4⋊7S3central extension (φ=1)96C6.119(D4:2S3)288,663
C6.120(D4⋊2S3) = C3×C4.D12central extension (φ=1)96C6.120(D4:2S3)288,668
C6.121(D4⋊2S3) = C3×C4⋊C4⋊S3central extension (φ=1)96C6.121(D4:2S3)288,669
C6.122(D4⋊2S3) = C3×D4×Dic3central extension (φ=1)48C6.122(D4:2S3)288,705
C6.123(D4⋊2S3) = C3×C23.23D6central extension (φ=1)48C6.123(D4:2S3)288,706
C6.124(D4⋊2S3) = C3×C23.12D6central extension (φ=1)48C6.124(D4:2S3)288,707
C6.125(D4⋊2S3) = C3×D6⋊3D4central extension (φ=1)48C6.125(D4:2S3)288,709
C6.126(D4⋊2S3) = C3×C23.14D6central extension (φ=1)48C6.126(D4:2S3)288,710

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