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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=S3×C6

Direct product G=N×Q with N=C2×C4 and Q=S3×C6
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C2×C4 and Q=S3×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(S3×C6) = C3×D6⋊D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4):1(S3xC6)288,653
(C2×C4)⋊2(S3×C6) = C3×C23⋊2D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4):2(S3xC6)288,708
(C2×C4)⋊3(S3×C6) = C3×D4⋊6D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4244(C2xC4):3(S3xC6)288,994
(C2×C4)⋊4(S3×C6) = C3×D4○D12φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4):4(S3xC6)288,999
(C2×C4)⋊5(S3×C6) = C3×S3×C22⋊C4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4):5(S3xC6)288,651
(C2×C4)⋊6(S3×C6) = S3×C6×D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4):6(S3xC6)288,992
(C2×C4)⋊7(S3×C6) = C3×S3×C4○D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4):7(S3xC6)288,998
(C2×C4)⋊8(S3×C6) = C6×D6⋊C4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4):8(S3xC6)288,698
(C2×C4)⋊9(S3×C6) = C2×C6×D12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4):9(S3xC6)288,990
(C2×C4)⋊10(S3×C6) = C6×C4○D12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C448(C2xC4):10(S3xC6)288,991

Non-split extensions G=N.Q with N=C2×C4 and Q=S3×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(S3×C6) = C3×C12.46D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).1(S3xC6)288,257
(C2×C4).2(S3×C6) = C3×C12.47D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).2(S3xC6)288,258
(C2×C4).3(S3×C6) = C3×C12.D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C4244(C2xC4).3(S3xC6)288,267
(C2×C4).4(S3×C6) = C3×C12.10D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).4(S3xC6)288,270
(C2×C4).5(S3×C6) = C3×Dic3.D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4).5(S3xC6)288,649
(C2×C4).6(S3×C6) = C3×Dic3⋊D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4).6(S3xC6)288,655
(C2×C4).7(S3×C6) = C3×C23.21D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4).7(S3xC6)288,657
(C2×C4).8(S3×C6) = C3×C12⋊Q8φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).8(S3xC6)288,659
(C2×C4).9(S3×C6) = C3×D6.D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).9(S3xC6)288,665
(C2×C4).10(S3×C6) = C3×C12⋊D4φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).10(S3xC6)288,666
(C2×C4).11(S3×C6) = C3×D6⋊Q8φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).11(S3xC6)288,667
(C2×C4).12(S3×C6) = C3×C4⋊C4⋊S3φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).12(S3xC6)288,669
(C2×C4).13(S3×C6) = C3×C8⋊D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).13(S3xC6)288,679
(C2×C4).14(S3×C6) = C3×C8.D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).14(S3xC6)288,680
(C2×C4).15(S3×C6) = C3×D12⋊6C22φ: S3×C6/C32 → C22 ⊆ Aut C2×C4244(C2xC4).15(S3xC6)288,703
(C2×C4).16(S3×C6) = C3×C23.23D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4).16(S3xC6)288,706
(C2×C4).17(S3×C6) = C3×C23.14D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C448(C2xC4).17(S3xC6)288,710
(C2×C4).18(S3×C6) = C3×Q8.11D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).18(S3xC6)288,713
(C2×C4).19(S3×C6) = C3×Dic3⋊Q8φ: S3×C6/C32 → C22 ⊆ Aut C2×C496(C2xC4).19(S3xC6)288,715
(C2×C4).20(S3×C6) = C3×D4⋊D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).20(S3xC6)288,720
(C2×C4).21(S3×C6) = C3×Q8.14D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).21(S3xC6)288,722
(C2×C4).22(S3×C6) = C3×Q8.15D6φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).22(S3xC6)288,997
(C2×C4).23(S3×C6) = C3×Q8○D12φ: S3×C6/C32 → C22 ⊆ Aut C2×C4484(C2xC4).23(S3xC6)288,1000
(C2×C4).24(S3×C6) = C3×C23.16D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).24(S3xC6)288,648
(C2×C4).25(S3×C6) = C3×C23.8D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).25(S3xC6)288,650
(C2×C4).26(S3×C6) = C3×Dic3⋊4D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).26(S3xC6)288,652
(C2×C4).27(S3×C6) = C3×C23.9D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).27(S3xC6)288,654
(C2×C4).28(S3×C6) = C3×C23.11D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).28(S3xC6)288,656
(C2×C4).29(S3×C6) = C3×Dic3.Q8φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).29(S3xC6)288,660
(C2×C4).30(S3×C6) = C3×S3×C4⋊C4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).30(S3xC6)288,662
(C2×C4).31(S3×C6) = C3×C4⋊C4⋊7S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).31(S3xC6)288,663
(C2×C4).32(S3×C6) = C3×C6.Q16φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).32(S3xC6)288,241
(C2×C4).33(S3×C6) = C3×C12.Q8φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).33(S3xC6)288,242
(C2×C4).34(S3×C6) = C3×C6.D8φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).34(S3xC6)288,243
(C2×C4).35(S3×C6) = C3×C6.SD16φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).35(S3xC6)288,244
(C2×C4).36(S3×C6) = C3×C12.53D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).36(S3xC6)288,256
(C2×C4).37(S3×C6) = C3×D12⋊C4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).37(S3xC6)288,259
(C2×C4).38(S3×C6) = C3×D4⋊Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).38(S3xC6)288,266
(C2×C4).39(S3×C6) = C3×Q8⋊2Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).39(S3xC6)288,269
(C2×C4).40(S3×C6) = C3×Q8⋊3Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).40(S3xC6)288,271
(C2×C4).41(S3×C6) = C3×Dic6⋊C4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).41(S3xC6)288,658
(C2×C4).42(S3×C6) = C3×C4.Dic6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).42(S3xC6)288,661
(C2×C4).43(S3×C6) = C3×Dic3⋊5D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).43(S3xC6)288,664
(C2×C4).44(S3×C6) = C3×C4.D12φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).44(S3xC6)288,668
(C2×C4).45(S3×C6) = C3×S3×M4(2)φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).45(S3xC6)288,677
(C2×C4).46(S3×C6) = C3×D12.C4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).46(S3xC6)288,678
(C2×C4).47(S3×C6) = C6×D4⋊S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).47(S3xC6)288,702
(C2×C4).48(S3×C6) = C6×D4.S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).48(S3xC6)288,704
(C2×C4).49(S3×C6) = C3×D4×Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).49(S3xC6)288,705
(C2×C4).50(S3×C6) = C3×C23.12D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).50(S3xC6)288,707
(C2×C4).51(S3×C6) = C3×D6⋊3D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).51(S3xC6)288,709
(C2×C4).52(S3×C6) = C3×C12⋊3D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).52(S3xC6)288,711
(C2×C4).53(S3×C6) = C6×Q8⋊2S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).53(S3xC6)288,712
(C2×C4).54(S3×C6) = C6×C3⋊Q16φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).54(S3xC6)288,714
(C2×C4).55(S3×C6) = C3×Q8×Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).55(S3xC6)288,716
(C2×C4).56(S3×C6) = C3×D6⋊3Q8φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).56(S3xC6)288,717
(C2×C4).57(S3×C6) = C3×C12.23D4φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).57(S3xC6)288,718
(C2×C4).58(S3×C6) = C3×D4.Dic3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).58(S3xC6)288,719
(C2×C4).59(S3×C6) = C3×Q8.13D6φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C4484(C2xC4).59(S3xC6)288,721
(C2×C4).60(S3×C6) = C6×D4⋊2S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C448(C2xC4).60(S3xC6)288,993
(C2×C4).61(S3×C6) = S3×C6×Q8φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).61(S3xC6)288,995
(C2×C4).62(S3×C6) = C6×Q8⋊3S3φ: S3×C6/C3×S3 → C2 ⊆ Aut C2×C496(C2xC4).62(S3xC6)288,996
(C2×C4).63(S3×C6) = C3×C12.6Q8φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).63(S3xC6)288,641
(C2×C4).64(S3×C6) = C3×C42⋊2S3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).64(S3xC6)288,643
(C2×C4).65(S3×C6) = C3×C42⋊7S3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).65(S3xC6)288,646
(C2×C4).66(S3×C6) = C3×C42⋊3S3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).66(S3xC6)288,647
(C2×C4).67(S3×C6) = C6×Dic3⋊C4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).67(S3xC6)288,694
(C2×C4).68(S3×C6) = C3×C23.28D6φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C448(C2xC4).68(S3xC6)288,700
(C2×C4).69(S3×C6) = C3×C42⋊4S3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C4242(C2xC4).69(S3xC6)288,239
(C2×C4).70(S3×C6) = C3×C2.Dic12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).70(S3xC6)288,250
(C2×C4).71(S3×C6) = C3×C8⋊Dic3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).71(S3xC6)288,251
(C2×C4).72(S3×C6) = C3×C24⋊1C4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).72(S3xC6)288,252
(C2×C4).73(S3×C6) = C3×C24.C4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C4482(C2xC4).73(S3xC6)288,253
(C2×C4).74(S3×C6) = C3×C2.D24φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).74(S3xC6)288,255
(C2×C4).75(S3×C6) = C3×C12⋊2Q8φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).75(S3xC6)288,640
(C2×C4).76(S3×C6) = C3×C4⋊D12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).76(S3xC6)288,645
(C2×C4).77(S3×C6) = C3×C8○D12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C4482(C2xC4).77(S3xC6)288,672
(C2×C4).78(S3×C6) = C6×C24⋊C2φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).78(S3xC6)288,673
(C2×C4).79(S3×C6) = C6×D24φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).79(S3xC6)288,674
(C2×C4).80(S3×C6) = C3×C4○D24φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C4482(C2xC4).80(S3xC6)288,675
(C2×C4).81(S3×C6) = C6×Dic12φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).81(S3xC6)288,676
(C2×C4).82(S3×C6) = C6×C4.Dic3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C448(C2xC4).82(S3xC6)288,692
(C2×C4).83(S3×C6) = C3×C12.48D4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C448(C2xC4).83(S3xC6)288,695
(C2×C4).84(S3×C6) = C6×C4⋊Dic3φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).84(S3xC6)288,696
(C2×C4).85(S3×C6) = C3×C12⋊7D4φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C448(C2xC4).85(S3xC6)288,701
(C2×C4).86(S3×C6) = C2×C6×Dic6φ: S3×C6/C3×C6 → C2 ⊆ Aut C2×C496(C2xC4).86(S3xC6)288,988
(C2×C4).87(S3×C6) = C12×C3⋊C8central extension (φ=1)96(C2xC4).87(S3xC6)288,236
(C2×C4).88(S3×C6) = C3×C42.S3central extension (φ=1)96(C2xC4).88(S3xC6)288,237
(C2×C4).89(S3×C6) = C3×C12⋊C8central extension (φ=1)96(C2xC4).89(S3xC6)288,238
(C2×C4).90(S3×C6) = Dic3×C24central extension (φ=1)96(C2xC4).90(S3xC6)288,247
(C2×C4).91(S3×C6) = C3×Dic3⋊C8central extension (φ=1)96(C2xC4).91(S3xC6)288,248
(C2×C4).92(S3×C6) = C3×C24⋊C4central extension (φ=1)96(C2xC4).92(S3xC6)288,249
(C2×C4).93(S3×C6) = C3×D6⋊C8central extension (φ=1)96(C2xC4).93(S3xC6)288,254
(C2×C4).94(S3×C6) = C3×C12.55D4central extension (φ=1)48(C2xC4).94(S3xC6)288,264
(C2×C4).95(S3×C6) = C12×Dic6central extension (φ=1)96(C2xC4).95(S3xC6)288,639
(C2×C4).96(S3×C6) = S3×C4×C12central extension (φ=1)96(C2xC4).96(S3xC6)288,642
(C2×C4).97(S3×C6) = C12×D12central extension (φ=1)96(C2xC4).97(S3xC6)288,644
(C2×C4).98(S3×C6) = S3×C2×C24central extension (φ=1)96(C2xC4).98(S3xC6)288,670
(C2×C4).99(S3×C6) = C6×C8⋊S3central extension (φ=1)96(C2xC4).99(S3xC6)288,671
(C2×C4).100(S3×C6) = C2×C6×C3⋊C8central extension (φ=1)96(C2xC4).100(S3xC6)288,691
(C2×C4).101(S3×C6) = Dic3×C2×C12central extension (φ=1)96(C2xC4).101(S3xC6)288,693
(C2×C4).102(S3×C6) = C3×C23.26D6central extension (φ=1)48(C2xC4).102(S3xC6)288,697
(C2×C4).103(S3×C6) = C12×C3⋊D4central extension (φ=1)48(C2xC4).103(S3xC6)288,699

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