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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C2×C6

Direct product G=N×Q with N=C2×C12 and Q=C2×C6
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C2×C12 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1(C2×C6) = C3×D6⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):1(C2xC6)288,653
(C2×C12)⋊2(C2×C6) = S3×C6×D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):2(C2xC6)288,992
(C2×C12)⋊3(C2×C6) = C3×D4⋊6D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12244(C2xC12):3(C2xC6)288,994
(C2×C12)⋊4(C2×C6) = C3×S3×C4○D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12):4(C2xC6)288,998
(C2×C12)⋊5(C2×C6) = C3×D4○D12φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12):5(C2xC6)288,999
(C2×C12)⋊6(C2×C6) = C3×S3×C22⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):6(C2xC6)288,651
(C2×C12)⋊7(C2×C6) = C3×C23⋊2D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12):7(C2xC6)288,708
(C2×C12)⋊8(C2×C6) = C32×C22≀C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):8(C2xC6)288,817
(C2×C12)⋊9(C2×C6) = C32×2+ 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1272(C2xC12):9(C2xC6)288,1022
(C2×C12)⋊10(C2×C6) = C6×D6⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12):10(C2xC6)288,698
(C2×C12)⋊11(C2×C6) = C22⋊C4×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):11(C2xC6)288,812
(C2×C12)⋊12(C2×C6) = C2×C6×D12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12):12(C2xC6)288,990
(C2×C12)⋊13(C2×C6) = C6×C4○D12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12):13(C2xC6)288,991
(C2×C12)⋊14(C2×C6) = S3×C22×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12):14(C2xC6)288,989
(C2×C12)⋊15(C2×C6) = D4×C62φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):15(C2xC6)288,1019
(C2×C12)⋊16(C2×C6) = C4○D4×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12):16(C2xC6)288,1021

Non-split extensions G=N.Q with N=C2×C12 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C12).1(C2×C6) = C3×Dic3.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).1(C2xC6)288,649
(C2×C12).2(C2×C6) = C3×C23.8D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).2(C2xC6)288,650
(C2×C12).3(C2×C6) = C3×C23.21D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).3(C2xC6)288,657
(C2×C12).4(C2×C6) = C3×C12⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).4(C2xC6)288,659
(C2×C12).5(C2×C6) = C3×Dic3.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).5(C2xC6)288,660
(C2×C12).6(C2×C6) = C3×D6.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).6(C2xC6)288,665
(C2×C12).7(C2×C6) = C3×C12⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).7(C2xC6)288,666
(C2×C12).8(C2×C6) = C3×C4⋊C4⋊S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).8(C2xC6)288,669
(C2×C12).9(C2×C6) = C3×C6.Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).9(C2xC6)288,241
(C2×C12).10(C2×C6) = C3×C12.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).10(C2xC6)288,242
(C2×C12).11(C2×C6) = C3×C6.D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).11(C2xC6)288,243
(C2×C12).12(C2×C6) = C3×C6.SD16φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).12(C2xC6)288,244
(C2×C12).13(C2×C6) = C3×C12.53D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).13(C2xC6)288,256
(C2×C12).14(C2×C6) = C3×C12.46D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).14(C2xC6)288,257
(C2×C12).15(C2×C6) = C3×C12.47D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).15(C2xC6)288,258
(C2×C12).16(C2×C6) = C3×D12⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).16(C2xC6)288,259
(C2×C12).17(C2×C6) = C3×D4⋊Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).17(C2xC6)288,266
(C2×C12).18(C2×C6) = C3×C12.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).18(C2xC6)288,267
(C2×C12).19(C2×C6) = C3×Q8⋊2Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).19(C2xC6)288,269
(C2×C12).20(C2×C6) = C3×C12.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).20(C2xC6)288,270
(C2×C12).21(C2×C6) = C3×Q8⋊3Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).21(C2xC6)288,271
(C2×C12).22(C2×C6) = C3×C4.Dic6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).22(C2xC6)288,661
(C2×C12).23(C2×C6) = C3×C4.D12φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).23(C2xC6)288,668
(C2×C12).24(C2×C6) = C3×S3×M4(2)φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).24(C2xC6)288,677
(C2×C12).25(C2×C6) = C3×D12.C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).25(C2xC6)288,678
(C2×C12).26(C2×C6) = C3×C8⋊D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).26(C2xC6)288,679
(C2×C12).27(C2×C6) = C3×C8.D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).27(C2xC6)288,680
(C2×C12).28(C2×C6) = C6×D4⋊S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).28(C2xC6)288,702
(C2×C12).29(C2×C6) = C3×D12⋊6C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C12244(C2xC12).29(C2xC6)288,703
(C2×C12).30(C2×C6) = C6×D4.S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).30(C2xC6)288,704
(C2×C12).31(C2×C6) = C3×D4×Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).31(C2xC6)288,705
(C2×C12).32(C2×C6) = C3×C23.12D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).32(C2xC6)288,707
(C2×C12).33(C2×C6) = C3×D6⋊3D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).33(C2xC6)288,709
(C2×C12).34(C2×C6) = C3×C12⋊3D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).34(C2xC6)288,711
(C2×C12).35(C2×C6) = C6×Q8⋊2S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).35(C2xC6)288,712
(C2×C12).36(C2×C6) = C3×Q8.11D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).36(C2xC6)288,713
(C2×C12).37(C2×C6) = C6×C3⋊Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).37(C2xC6)288,714
(C2×C12).38(C2×C6) = C3×Dic3⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).38(C2xC6)288,715
(C2×C12).39(C2×C6) = C3×Q8×Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).39(C2xC6)288,716
(C2×C12).40(C2×C6) = C3×C12.23D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).40(C2xC6)288,718
(C2×C12).41(C2×C6) = C3×D4.Dic3φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).41(C2xC6)288,719
(C2×C12).42(C2×C6) = C3×D4⋊D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).42(C2xC6)288,720
(C2×C12).43(C2×C6) = C3×Q8.13D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).43(C2xC6)288,721
(C2×C12).44(C2×C6) = C3×Q8.14D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).44(C2xC6)288,722
(C2×C12).45(C2×C6) = C6×D4⋊2S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).45(C2xC6)288,993
(C2×C12).46(C2×C6) = S3×C6×Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).46(C2xC6)288,995
(C2×C12).47(C2×C6) = C6×Q8⋊3S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).47(C2xC6)288,996
(C2×C12).48(C2×C6) = C3×Q8.15D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).48(C2xC6)288,997
(C2×C12).49(C2×C6) = C3×Q8○D12φ: C2×C6/C3 → C22 ⊆ Aut C2×C12484(C2xC12).49(C2xC6)288,1000
(C2×C12).50(C2×C6) = C3×C23.16D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).50(C2xC6)288,648
(C2×C12).51(C2×C6) = C3×Dic3⋊4D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).51(C2xC6)288,652
(C2×C12).52(C2×C6) = C3×C23.9D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).52(C2xC6)288,654
(C2×C12).53(C2×C6) = C3×Dic3⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).53(C2xC6)288,655
(C2×C12).54(C2×C6) = C3×C23.11D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).54(C2xC6)288,656
(C2×C12).55(C2×C6) = C3×Dic6⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).55(C2xC6)288,658
(C2×C12).56(C2×C6) = C3×S3×C4⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).56(C2xC6)288,662
(C2×C12).57(C2×C6) = C3×C4⋊C4⋊7S3φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).57(C2xC6)288,663
(C2×C12).58(C2×C6) = C3×Dic3⋊5D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).58(C2xC6)288,664
(C2×C12).59(C2×C6) = C3×D6⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).59(C2xC6)288,667
(C2×C12).60(C2×C6) = C9×C4.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).60(C2xC6)288,50
(C2×C12).61(C2×C6) = C9×C4.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).61(C2xC6)288,51
(C2×C12).62(C2×C6) = C9×C22≀C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).62(C2xC6)288,170
(C2×C12).63(C2×C6) = C9×C4⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).63(C2xC6)288,171
(C2×C12).64(C2×C6) = C9×C22⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).64(C2xC6)288,172
(C2×C12).65(C2×C6) = C9×C8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).65(C2xC6)288,186
(C2×C12).66(C2×C6) = C9×C8.C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).66(C2xC6)288,187
(C2×C12).67(C2×C6) = C32×C4.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).67(C2xC6)288,318
(C2×C12).68(C2×C6) = C32×C4.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).68(C2xC6)288,319
(C2×C12).69(C2×C6) = C9×2+ 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12724(C2xC12).69(C2xC6)288,371
(C2×C12).70(C2×C6) = C9×2- 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C121444(C2xC12).70(C2xC6)288,372
(C2×C12).71(C2×C6) = C3×C23.23D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).71(C2xC6)288,706
(C2×C12).72(C2×C6) = C3×C23.14D6φ: C2×C6/C3 → C22 ⊆ Aut C2×C1248(C2xC12).72(C2xC6)288,710
(C2×C12).73(C2×C6) = C3×D6⋊3Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C1296(C2xC12).73(C2xC6)288,717
(C2×C12).74(C2×C6) = C32×C4.4D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).74(C2xC6)288,821
(C2×C12).75(C2×C6) = C32×C42.C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C12288(C2xC12).75(C2xC6)288,822
(C2×C12).76(C2×C6) = C32×C8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C1272(C2xC12).76(C2xC6)288,833
(C2×C12).77(C2×C6) = C32×C8.C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).77(C2xC6)288,834
(C2×C12).78(C2×C6) = C32×2- 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C12144(C2xC12).78(C2xC6)288,1023
(C2×C12).79(C2×C6) = C22⋊C4×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).79(C2xC6)288,165
(C2×C12).80(C2×C6) = C4⋊C4×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).80(C2xC6)288,166
(C2×C12).81(C2×C6) = D4×C36φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).81(C2xC6)288,168
(C2×C12).82(C2×C6) = C9×C22.D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).82(C2xC6)288,173
(C2×C12).83(C2×C6) = C9×C4.4D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).83(C2xC6)288,174
(C2×C12).84(C2×C6) = C9×C42.C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).84(C2xC6)288,175
(C2×C12).85(C2×C6) = C9×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).85(C2xC6)288,176
(C2×C12).86(C2×C6) = C3×C12.6Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).86(C2xC6)288,641
(C2×C12).87(C2×C6) = C3×C42⋊2S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).87(C2xC6)288,643
(C2×C12).88(C2×C6) = C3×C42⋊7S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).88(C2xC6)288,646
(C2×C12).89(C2×C6) = C3×C42⋊3S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).89(C2xC6)288,647
(C2×C12).90(C2×C6) = C6×Dic3⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).90(C2xC6)288,694
(C2×C12).91(C2×C6) = C3×C12.48D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).91(C2xC6)288,695
(C2×C12).92(C2×C6) = C3×C23.28D6φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).92(C2xC6)288,700
(C2×C12).93(C2×C6) = C3×C12⋊7D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).93(C2xC6)288,701
(C2×C12).94(C2×C6) = C4⋊C4×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).94(C2xC6)288,813
(C2×C12).95(C2×C6) = D4×C3×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).95(C2xC6)288,815
(C2×C12).96(C2×C6) = C32×C4⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).96(C2xC6)288,818
(C2×C12).97(C2×C6) = C32×C22⋊Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).97(C2xC6)288,819
(C2×C12).98(C2×C6) = C32×C22.D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).98(C2xC6)288,820
(C2×C12).99(C2×C6) = C32×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).99(C2xC6)288,823
(C2×C12).100(C2×C6) = C3×C2.Dic12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).100(C2xC6)288,250
(C2×C12).101(C2×C6) = C3×C8⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).101(C2xC6)288,251
(C2×C12).102(C2×C6) = C3×C24⋊1C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).102(C2xC6)288,252
(C2×C12).103(C2×C6) = C3×C2.D24φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).103(C2xC6)288,255
(C2×C12).104(C2×C6) = C3×C12⋊2Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).104(C2xC6)288,640
(C2×C12).105(C2×C6) = C3×C4⋊D12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).105(C2xC6)288,645
(C2×C12).106(C2×C6) = C6×C24⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).106(C2xC6)288,673
(C2×C12).107(C2×C6) = C6×D24φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).107(C2xC6)288,674
(C2×C12).108(C2×C6) = C6×Dic12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).108(C2xC6)288,676
(C2×C12).109(C2×C6) = C6×C4⋊Dic3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).109(C2xC6)288,696
(C2×C12).110(C2×C6) = C3×C23.26D6φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).110(C2xC6)288,697
(C2×C12).111(C2×C6) = C2×C6×Dic6φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).111(C2xC6)288,988
(C2×C12).112(C2×C6) = C3×C42⋊4S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C12242(C2xC12).112(C2xC6)288,239
(C2×C12).113(C2×C6) = C3×C24.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).113(C2xC6)288,253
(C2×C12).114(C2×C6) = C3×C8○D12φ: C2×C6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).114(C2xC6)288,672
(C2×C12).115(C2×C6) = C3×C4○D24φ: C2×C6/C6 → C2 ⊆ Aut C2×C12482(C2xC12).115(C2xC6)288,675
(C2×C12).116(C2×C6) = C6×C4.Dic3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).116(C2xC6)288,692
(C2×C12).117(C2×C6) = C12×C3⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).117(C2xC6)288,236
(C2×C12).118(C2×C6) = C3×C42.S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).118(C2xC6)288,237
(C2×C12).119(C2×C6) = C3×C12⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).119(C2xC6)288,238
(C2×C12).120(C2×C6) = Dic3×C24φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).120(C2xC6)288,247
(C2×C12).121(C2×C6) = C3×Dic3⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).121(C2xC6)288,248
(C2×C12).122(C2×C6) = C3×C24⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).122(C2xC6)288,249
(C2×C12).123(C2×C6) = C3×D6⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).123(C2xC6)288,254
(C2×C12).124(C2×C6) = C3×C12.55D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).124(C2xC6)288,264
(C2×C12).125(C2×C6) = C12×Dic6φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).125(C2xC6)288,639
(C2×C12).126(C2×C6) = S3×C4×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).126(C2xC6)288,642
(C2×C12).127(C2×C6) = C12×D12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).127(C2xC6)288,644
(C2×C12).128(C2×C6) = S3×C2×C24φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).128(C2xC6)288,670
(C2×C12).129(C2×C6) = C6×C8⋊S3φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).129(C2xC6)288,671
(C2×C12).130(C2×C6) = C2×C6×C3⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).130(C2xC6)288,691
(C2×C12).131(C2×C6) = Dic3×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C1296(C2xC12).131(C2xC6)288,693
(C2×C12).132(C2×C6) = C12×C3⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C1248(C2xC12).132(C2xC6)288,699
(C2×C12).133(C2×C6) = C9×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).133(C2xC6)288,52
(C2×C12).134(C2×C6) = C9×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).134(C2xC6)288,53
(C2×C12).135(C2×C6) = C9×C4≀C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C12722(C2xC12).135(C2xC6)288,54
(C2×C12).136(C2×C6) = C9×C4.Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).136(C2xC6)288,56
(C2×C12).137(C2×C6) = C9×C2.D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).137(C2xC6)288,57
(C2×C12).138(C2×C6) = C9×C8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).138(C2xC6)288,58
(C2×C12).139(C2×C6) = Q8×C36φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).139(C2xC6)288,169
(C2×C12).140(C2×C6) = C9×C4⋊1D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).140(C2xC6)288,177
(C2×C12).141(C2×C6) = C9×C4⋊Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).141(C2xC6)288,178
(C2×C12).142(C2×C6) = M4(2)×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).142(C2xC6)288,180
(C2×C12).143(C2×C6) = C9×C8○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).143(C2xC6)288,181
(C2×C12).144(C2×C6) = D8×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).144(C2xC6)288,182
(C2×C12).145(C2×C6) = SD16×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).145(C2xC6)288,183
(C2×C12).146(C2×C6) = Q16×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).146(C2xC6)288,184
(C2×C12).147(C2×C6) = C9×C4○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C121442(C2xC12).147(C2xC6)288,185
(C2×C12).148(C2×C6) = C32×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).148(C2xC6)288,320
(C2×C12).149(C2×C6) = C32×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).149(C2xC6)288,321
(C2×C12).150(C2×C6) = C32×C4≀C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C1272(C2xC12).150(C2xC6)288,322
(C2×C12).151(C2×C6) = C32×C4.Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).151(C2xC6)288,324
(C2×C12).152(C2×C6) = C32×C2.D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).152(C2xC6)288,325
(C2×C12).153(C2×C6) = C32×C8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).153(C2xC6)288,326
(C2×C12).154(C2×C6) = D4×C2×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).154(C2xC6)288,368
(C2×C12).155(C2×C6) = Q8×C2×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).155(C2xC6)288,369
(C2×C12).156(C2×C6) = C4○D4×C18φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).156(C2xC6)288,370
(C2×C12).157(C2×C6) = Q8×C3×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).157(C2xC6)288,816
(C2×C12).158(C2×C6) = C32×C4⋊1D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).158(C2xC6)288,824
(C2×C12).159(C2×C6) = C32×C4⋊Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).159(C2xC6)288,825
(C2×C12).160(C2×C6) = C32×C8○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).160(C2xC6)288,828
(C2×C12).161(C2×C6) = D8×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).161(C2xC6)288,829
(C2×C12).162(C2×C6) = SD16×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).162(C2xC6)288,830
(C2×C12).163(C2×C6) = Q16×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).163(C2xC6)288,831
(C2×C12).164(C2×C6) = C32×C4○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C12144(C2xC12).164(C2xC6)288,832
(C2×C12).165(C2×C6) = Q8×C62φ: C2×C6/C6 → C2 ⊆ Aut C2×C12288(C2xC12).165(C2xC6)288,1020
(C2×C12).166(C2×C6) = C9×C8⋊C4central extension (φ=1)288(C2xC12).166(C2xC6)288,47
(C2×C12).167(C2×C6) = C9×C22⋊C8central extension (φ=1)144(C2xC12).167(C2xC6)288,48
(C2×C12).168(C2×C6) = C9×C4⋊C8central extension (φ=1)288(C2xC12).168(C2xC6)288,55
(C2×C12).169(C2×C6) = C9×C42⋊C2central extension (φ=1)144(C2xC12).169(C2xC6)288,167
(C2×C12).170(C2×C6) = C32×C8⋊C4central extension (φ=1)288(C2xC12).170(C2xC6)288,315
(C2×C12).171(C2×C6) = C32×C22⋊C8central extension (φ=1)144(C2xC12).171(C2xC6)288,316
(C2×C12).172(C2×C6) = C32×C4⋊C8central extension (φ=1)288(C2xC12).172(C2xC6)288,323
(C2×C12).173(C2×C6) = C32×C42⋊C2central extension (φ=1)144(C2xC12).173(C2xC6)288,814
(C2×C12).174(C2×C6) = M4(2)×C3×C6central extension (φ=1)144(C2xC12).174(C2xC6)288,827

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