Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C2×C4

Direct product G=N×Q with N=C3×C12 and Q=C2×C4
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C3×C12 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊(C2×C4) = D4×C32⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12248+(C3xC12):(C2xC4)288,936
(C3×C12)⋊2(C2×C4) = C2×C4×C32⋊C4φ: C2×C4/C2C4 ⊆ Aut C3×C1248(C3xC12):2(C2xC4)288,932
(C3×C12)⋊3(C2×C4) = C2×C4⋊(C32⋊C4)φ: C2×C4/C2C4 ⊆ Aut C3×C1248(C3xC12):3(C2xC4)288,933
(C3×C12)⋊4(C2×C4) = S3×C4⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):4(C2xC4)288,537
(C3×C12)⋊5(C2×C4) = Dic3×D12φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):5(C2xC4)288,540
(C3×C12)⋊6(C2×C4) = Dic35D12φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12):6(C2xC4)288,542
(C3×C12)⋊7(C2×C4) = D12⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):7(C2xC4)288,546
(C3×C12)⋊8(C2×C4) = C62.70C23φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12):8(C2xC4)288,548
(C3×C12)⋊9(C2×C4) = C3×S3×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):9(C2xC4)288,662
(C3×C12)⋊10(C2×C4) = C3×Dic35D4φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):10(C2xC4)288,664
(C3×C12)⋊11(C2×C4) = C3×D4×Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12):11(C2xC4)288,705
(C3×C12)⋊12(C2×C4) = C4⋊C4×C3⋊S3φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12):12(C2xC4)288,748
(C3×C12)⋊13(C2×C4) = C62.237C23φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12):13(C2xC4)288,750
(C3×C12)⋊14(C2×C4) = D4×C3⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12):14(C2xC4)288,791
(C3×C12)⋊15(C2×C4) = C4×S3×Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12):15(C2xC4)288,523
(C3×C12)⋊16(C2×C4) = C4×C6.D6φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12):16(C2xC4)288,530
(C3×C12)⋊17(C2×C4) = C4×C12⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12):17(C2xC4)288,730
(C3×C12)⋊18(C2×C4) = C12×D12φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12):18(C2xC4)288,644
(C3×C12)⋊19(C2×C4) = S3×C4×C12φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12):19(C2xC4)288,642
(C3×C12)⋊20(C2×C4) = C42×C3⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12):20(C2xC4)288,728
(C3×C12)⋊21(C2×C4) = D4×C3×C12φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12):21(C2xC4)288,815
(C3×C12)⋊22(C2×C4) = C2×C12⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12):22(C2xC4)288,782
(C3×C12)⋊23(C2×C4) = C6×C4⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12):23(C2xC4)288,696
(C3×C12)⋊24(C2×C4) = Dic3×C2×C12φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12):24(C2xC4)288,693
(C3×C12)⋊25(C2×C4) = C2×C4×C3⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12):25(C2xC4)288,779
(C3×C12)⋊26(C2×C4) = C4⋊C4×C3×C6φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12):26(C2xC4)288,813

Non-split extensions G=N.Q with N=C3×C12 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C3×C12).1(C2×C4) = C3⋊S3.5D8φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12248+(C3xC12).1(C2xC4)288,430
(C3×C12).2(C2×C4) = C326C4≀C2φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488-(C3xC12).2(C2xC4)288,431
(C3×C12).3(C2×C4) = C3⋊S3.5Q16φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488-(C3xC12).3(C2xC4)288,432
(C3×C12).4(C2×C4) = C327C4≀C2φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488+(C3xC12).4(C2xC4)288,433
(C3×C12).5(C2×C4) = C62.(C2×C4)φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488-(C3xC12).5(C2xC4)288,935
(C3×C12).6(C2×C4) = C12⋊S3.C4φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488+(C3xC12).6(C2xC4)288,937
(C3×C12).7(C2×C4) = Q8×C32⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C3×C12488-(C3xC12).7(C2xC4)288,938
(C3×C12).8(C2×C4) = C3⋊S33C16φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).8(C2xC4)288,412
(C3×C12).9(C2×C4) = C323M5(2)φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).9(C2xC4)288,413
(C3×C12).10(C2×C4) = C8×C32⋊C4φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).10(C2xC4)288,414
(C3×C12).11(C2×C4) = (C3×C24)⋊C4φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).11(C2xC4)288,415
(C3×C12).12(C2×C4) = C8⋊(C32⋊C4)φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).12(C2xC4)288,416
(C3×C12).13(C2×C4) = C3⋊S3.4D8φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).13(C2xC4)288,417
(C3×C12).14(C2×C4) = (C3×C24).C4φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).14(C2xC4)288,418
(C3×C12).15(C2×C4) = C8.(C32⋊C4)φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).15(C2xC4)288,419
(C3×C12).16(C2×C4) = C2×C322C16φ: C2×C4/C2C4 ⊆ Aut C3×C1296(C3xC12).16(C2xC4)288,420
(C3×C12).17(C2×C4) = C62.4C8φ: C2×C4/C2C4 ⊆ Aut C3×C12484(C3xC12).17(C2xC4)288,421
(C3×C12).18(C2×C4) = C2×C3⋊S33C8φ: C2×C4/C2C4 ⊆ Aut C3×C1248(C3xC12).18(C2xC4)288,929
(C3×C12).19(C2×C4) = C2×C32⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C3×C1248(C3xC12).19(C2xC4)288,930
(C3×C12).20(C2×C4) = C3⋊S3⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C3×C12244(C3xC12).20(C2xC4)288,931
(C3×C12).21(C2×C4) = (C6×C12)⋊5C4φ: C2×C4/C2C4 ⊆ Aut C3×C12244(C3xC12).21(C2xC4)288,934
(C3×C12).22(C2×C4) = D123Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).22(C2xC4)288,210
(C3×C12).23(C2×C4) = C6.16D24φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).23(C2xC4)288,211
(C3×C12).24(C2×C4) = C6.17D24φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).24(C2xC4)288,212
(C3×C12).25(C2×C4) = Dic6⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).25(C2xC4)288,213
(C3×C12).26(C2×C4) = C6.Dic12φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).26(C2xC4)288,214
(C3×C12).27(C2×C4) = C12.73D12φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).27(C2xC4)288,215
(C3×C12).28(C2×C4) = D124Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12244(C3xC12).28(C2xC4)288,216
(C3×C12).29(C2×C4) = D122Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).29(C2xC4)288,217
(C3×C12).30(C2×C4) = C12.80D12φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).30(C2xC4)288,218
(C3×C12).31(C2×C4) = C12.Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).31(C2xC4)288,221
(C3×C12).32(C2×C4) = C12.6Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).32(C2xC4)288,222
(C3×C12).33(C2×C4) = C6.18D24φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).33(C2xC4)288,223
(C3×C12).34(C2×C4) = C12.8Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).34(C2xC4)288,224
(C3×C12).35(C2×C4) = C12.82D12φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).35(C2xC4)288,225
(C3×C12).36(C2×C4) = C62.5Q8φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).36(C2xC4)288,226
(C3×C12).37(C2×C4) = C3×C6.Q16φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).37(C2xC4)288,241
(C3×C12).38(C2×C4) = C3×C12.Q8φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).38(C2xC4)288,242
(C3×C12).39(C2×C4) = C3×C6.D8φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).39(C2xC4)288,243
(C3×C12).40(C2×C4) = C3×C6.SD16φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).40(C2xC4)288,244
(C3×C12).41(C2×C4) = C3×C12.53D4φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).41(C2xC4)288,256
(C3×C12).42(C2×C4) = C3×D12⋊C4φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).42(C2xC4)288,259
(C3×C12).43(C2×C4) = C3×D4⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).43(C2xC4)288,266
(C3×C12).44(C2×C4) = C3×Q82Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).44(C2xC4)288,269
(C3×C12).45(C2×C4) = C3×Q83Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).45(C2xC4)288,271
(C3×C12).46(C2×C4) = C12.9Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).46(C2xC4)288,282
(C3×C12).47(C2×C4) = C12.10Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).47(C2xC4)288,283
(C3×C12).48(C2×C4) = C62.113D4φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).48(C2xC4)288,284
(C3×C12).49(C2×C4) = C62.114D4φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).49(C2xC4)288,285
(C3×C12).50(C2×C4) = C62.8Q8φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).50(C2xC4)288,297
(C3×C12).51(C2×C4) = C62.37D4φ: C2×C4/C2C22 ⊆ Aut C3×C1272(C3xC12).51(C2xC4)288,300
(C3×C12).52(C2×C4) = C62.116D4φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).52(C2xC4)288,307
(C3×C12).53(C2×C4) = C62.117D4φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).53(C2xC4)288,310
(C3×C12).54(C2×C4) = C62.39D4φ: C2×C4/C2C22 ⊆ Aut C3×C1272(C3xC12).54(C2xC4)288,312
(C3×C12).55(C2×C4) = S3×C4.Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).55(C2xC4)288,461
(C3×C12).56(C2×C4) = D12.2Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).56(C2xC4)288,462
(C3×C12).57(C2×C4) = D12.Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).57(C2xC4)288,463
(C3×C12).58(C2×C4) = C3⋊C8.22D6φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).58(C2xC4)288,465
(C3×C12).59(C2×C4) = C3⋊C820D6φ: C2×C4/C2C22 ⊆ Aut C3×C12244(C3xC12).59(C2xC4)288,466
(C3×C12).60(C2×C4) = C62.11C23φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).60(C2xC4)288,489
(C3×C12).61(C2×C4) = Dic3×Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).61(C2xC4)288,490
(C3×C12).62(C2×C4) = C62.13C23φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).62(C2xC4)288,491
(C3×C12).63(C2×C4) = Dic36Dic6φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).63(C2xC4)288,492
(C3×C12).64(C2×C4) = C62.19C23φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).64(C2xC4)288,497
(C3×C12).65(C2×C4) = C3×Dic6⋊C4φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).65(C2xC4)288,658
(C3×C12).66(C2×C4) = C3×C4⋊C47S3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).66(C2xC4)288,663
(C3×C12).67(C2×C4) = C3×S3×M4(2)φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).67(C2xC4)288,677
(C3×C12).68(C2×C4) = C3×D12.C4φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).68(C2xC4)288,678
(C3×C12).69(C2×C4) = C3×Q8×Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).69(C2xC4)288,716
(C3×C12).70(C2×C4) = C3×D4.Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).70(C2xC4)288,719
(C3×C12).71(C2×C4) = C62.231C23φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).71(C2xC4)288,744
(C3×C12).72(C2×C4) = C62.236C23φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).72(C2xC4)288,749
(C3×C12).73(C2×C4) = M4(2)×C3⋊S3φ: C2×C4/C2C22 ⊆ Aut C3×C1272(C3xC12).73(C2xC4)288,763
(C3×C12).74(C2×C4) = C24.47D6φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).74(C2xC4)288,764
(C3×C12).75(C2×C4) = Q8×C3⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C12288(C3xC12).75(C2xC4)288,802
(C3×C12).76(C2×C4) = D4.(C3⋊Dic3)φ: C2×C4/C2C22 ⊆ Aut C3×C12144(C3xC12).76(C2xC4)288,805
(C3×C12).77(C2×C4) = S3×C3⋊C16φ: C2×C4/C2C22 ⊆ Aut C3×C12964(C3xC12).77(C2xC4)288,189
(C3×C12).78(C2×C4) = C24.60D6φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).78(C2xC4)288,190
(C3×C12).79(C2×C4) = C24.61D6φ: C2×C4/C2C22 ⊆ Aut C3×C12964(C3xC12).79(C2xC4)288,191
(C3×C12).80(C2×C4) = C24.62D6φ: C2×C4/C2C22 ⊆ Aut C3×C12484(C3xC12).80(C2xC4)288,192
(C3×C12).81(C2×C4) = Dic3×C3⋊C8φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).81(C2xC4)288,200
(C3×C12).82(C2×C4) = C6.(S3×C8)φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).82(C2xC4)288,201
(C3×C12).83(C2×C4) = C3⋊C8⋊Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).83(C2xC4)288,202
(C3×C12).84(C2×C4) = C2.Dic32φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).84(C2xC4)288,203
(C3×C12).85(C2×C4) = C2×S3×C3⋊C8φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).85(C2xC4)288,460
(C3×C12).86(C2×C4) = C2×C12.29D6φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).86(C2xC4)288,464
(C3×C12).87(C2×C4) = C2×D6.Dic3φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).87(C2xC4)288,467
(C3×C12).88(C2×C4) = C2×C12.31D6φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).88(C2xC4)288,468
(C3×C12).89(C2×C4) = C62.25C23φ: C2×C4/C2C22 ⊆ Aut C3×C1296(C3xC12).89(C2xC4)288,503
(C3×C12).90(C2×C4) = C62.44C23φ: C2×C4/C2C22 ⊆ Aut C3×C1248(C3xC12).90(C2xC4)288,522
(C3×C12).91(C2×C4) = C122⋊C2φ: C2×C4/C4C2 ⊆ Aut C3×C1272(C3xC12).91(C2xC4)288,280
(C3×C12).92(C2×C4) = C6.4Dic12φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).92(C2xC4)288,291
(C3×C12).93(C2×C4) = C62.84D4φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).93(C2xC4)288,296
(C3×C12).94(C2×C4) = C4×C324Q8φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).94(C2xC4)288,725
(C3×C12).95(C2×C4) = C24.95D6φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).95(C2xC4)288,758
(C3×C12).96(C2×C4) = C3×C424S3φ: C2×C4/C4C2 ⊆ Aut C3×C12242(C3xC12).96(C2xC4)288,239
(C3×C12).97(C2×C4) = C3×C2.Dic12φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).97(C2xC4)288,250
(C3×C12).98(C2×C4) = C3×C2.D24φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).98(C2xC4)288,255
(C3×C12).99(C2×C4) = C12×Dic6φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).99(C2xC4)288,639
(C3×C12).100(C2×C4) = C3×C8○D12φ: C2×C4/C4C2 ⊆ Aut C3×C12482(C3xC12).100(C2xC4)288,672
(C3×C12).101(C2×C4) = S3×C48φ: C2×C4/C4C2 ⊆ Aut C3×C12962(C3xC12).101(C2xC4)288,231
(C3×C12).102(C2×C4) = C3×D6.C8φ: C2×C4/C4C2 ⊆ Aut C3×C12962(C3xC12).102(C2xC4)288,232
(C3×C12).103(C2×C4) = C12×C3⋊C8φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).103(C2xC4)288,236
(C3×C12).104(C2×C4) = C3×C42.S3φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).104(C2xC4)288,237
(C3×C12).105(C2×C4) = Dic3×C24φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).105(C2xC4)288,247
(C3×C12).106(C2×C4) = C3×C24⋊C4φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).106(C2xC4)288,249
(C3×C12).107(C2×C4) = C16×C3⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).107(C2xC4)288,272
(C3×C12).108(C2×C4) = C48⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).108(C2xC4)288,273
(C3×C12).109(C2×C4) = C4×C324C8φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).109(C2xC4)288,277
(C3×C12).110(C2×C4) = C122.C2φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).110(C2xC4)288,278
(C3×C12).111(C2×C4) = C24⋊Dic3φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).111(C2xC4)288,290
(C3×C12).112(C2×C4) = C3×C422S3φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).112(C2xC4)288,643
(C3×C12).113(C2×C4) = S3×C2×C24φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).113(C2xC4)288,670
(C3×C12).114(C2×C4) = C6×C8⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C1296(C3xC12).114(C2xC4)288,671
(C3×C12).115(C2×C4) = C12216C2φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).115(C2xC4)288,729
(C3×C12).116(C2×C4) = C2×C8×C3⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).116(C2xC4)288,756
(C3×C12).117(C2×C4) = C2×C24⋊S3φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).117(C2xC4)288,757
(C3×C12).118(C2×C4) = C32×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).118(C2xC4)288,320
(C3×C12).119(C2×C4) = C32×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).119(C2xC4)288,321
(C3×C12).120(C2×C4) = C32×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C3×C1272(C3xC12).120(C2xC4)288,322
(C3×C12).121(C2×C4) = Q8×C3×C12φ: C2×C4/C4C2 ⊆ Aut C3×C12288(C3xC12).121(C2xC4)288,816
(C3×C12).122(C2×C4) = C32×C8○D4φ: C2×C4/C4C2 ⊆ Aut C3×C12144(C3xC12).122(C2xC4)288,828
(C3×C12).123(C2×C4) = C242Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).123(C2xC4)288,292
(C3×C12).124(C2×C4) = C241Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).124(C2xC4)288,293
(C3×C12).125(C2×C4) = C12.59D12φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).125(C2xC4)288,294
(C3×C12).126(C2×C4) = C2×C12.58D6φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).126(C2xC4)288,778
(C3×C12).127(C2×C4) = C3×C8⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12).127(C2xC4)288,251
(C3×C12).128(C2×C4) = C3×C241C4φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12).128(C2xC4)288,252
(C3×C12).129(C2×C4) = C3×C24.C4φ: C2×C4/C22C2 ⊆ Aut C3×C12482(C3xC12).129(C2xC4)288,253
(C3×C12).130(C2×C4) = C6×C3⋊C16φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12).130(C2xC4)288,245
(C3×C12).131(C2×C4) = C3×C12.C8φ: C2×C4/C22C2 ⊆ Aut C3×C12482(C3xC12).131(C2xC4)288,246
(C3×C12).132(C2×C4) = C2×C24.S3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).132(C2xC4)288,286
(C3×C12).133(C2×C4) = C24.94D6φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).133(C2xC4)288,287
(C3×C12).134(C2×C4) = C8×C3⋊Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).134(C2xC4)288,288
(C3×C12).135(C2×C4) = C2×C6×C3⋊C8φ: C2×C4/C22C2 ⊆ Aut C3×C1296(C3xC12).135(C2xC4)288,691
(C3×C12).136(C2×C4) = C6×C4.Dic3φ: C2×C4/C22C2 ⊆ Aut C3×C1248(C3xC12).136(C2xC4)288,692
(C3×C12).137(C2×C4) = C3×C23.26D6φ: C2×C4/C22C2 ⊆ Aut C3×C1248(C3xC12).137(C2xC4)288,697
(C3×C12).138(C2×C4) = C22×C324C8φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).138(C2xC4)288,777
(C3×C12).139(C2×C4) = C62.247C23φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).139(C2xC4)288,783
(C3×C12).140(C2×C4) = C32×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).140(C2xC4)288,324
(C3×C12).141(C2×C4) = C32×C2.D8φ: C2×C4/C22C2 ⊆ Aut C3×C12288(C3xC12).141(C2xC4)288,325
(C3×C12).142(C2×C4) = C32×C8.C4φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).142(C2xC4)288,326
(C3×C12).143(C2×C4) = C32×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).143(C2xC4)288,814
(C3×C12).144(C2×C4) = M4(2)×C3×C6φ: C2×C4/C22C2 ⊆ Aut C3×C12144(C3xC12).144(C2xC4)288,827
(C3×C12).145(C2×C4) = C32×C8⋊C4central extension (φ=1)288(C3xC12).145(C2xC4)288,315
(C3×C12).146(C2×C4) = C32×M5(2)central extension (φ=1)144(C3xC12).146(C2xC4)288,328

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