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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C22×S3

Direct product G=N×Q with N=C3×C6 and Q=C22×S3
dρLabelID
S3×C2×C62144S3xC2xC6^2432,772

Semidirect products G=N:Q with N=C3×C6 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊(C22×S3) = C22×C32⋊D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C636(C3xC6):(C2^2xS3)432,545
(C3×C6)⋊2(C22×S3) = C23×C32⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6):2(C2^2xS3)432,558
(C3×C6)⋊3(C22×S3) = C23×He3⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6):3(C2^2xS3)432,561
(C3×C6)⋊4(C22×S3) = C2×S33φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6):4(C2^2xS3)432,759
(C3×C6)⋊5(C22×S3) = C22×S3×C3⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6):5(C2^2xS3)432,768
(C3×C6)⋊6(C22×S3) = C22×C32⋊4D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C648(C3xC6):6(C2^2xS3)432,769
(C3×C6)⋊7(C22×S3) = S32×C2×C6φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6):7(C2^2xS3)432,767
(C3×C6)⋊8(C22×S3) = C3⋊S3×C22×C6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6):8(C2^2xS3)432,773
(C3×C6)⋊9(C22×S3) = C23×C33⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6):9(C2^2xS3)432,774

Non-split extensions G=N.Q with N=C3×C6 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C22×S3) = C3⋊S3⋊Dic6φ: C22×S3/C2 → D6 ⊆ Aut C3×C67212-(C3xC6).1(C2^2xS3)432,294
(C3×C6).2(C22×S3) = C12⋊S3⋊S3φ: C22×S3/C2 → D6 ⊆ Aut C3×C67212+(C3xC6).2(C2^2xS3)432,295
(C3×C6).3(C22×S3) = C12.84S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C6726(C3xC6).3(C2^2xS3)432,296
(C3×C6).4(C22×S3) = C12.91S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C6726(C3xC6).4(C2^2xS3)432,297
(C3×C6).5(C22×S3) = C12.85S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C6726-(C3xC6).5(C2^2xS3)432,298
(C3×C6).6(C22×S3) = C12.S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C67212-(C3xC6).6(C2^2xS3)432,299
(C3×C6).7(C22×S3) = C4×C32⋊D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C6366(C3xC6).7(C2^2xS3)432,300
(C3×C6).8(C22×S3) = C3⋊S3⋊D12φ: C22×S3/C2 → D6 ⊆ Aut C3×C63612+(C3xC6).8(C2^2xS3)432,301
(C3×C6).9(C22×S3) = C12.86S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C6366+(C3xC6).9(C2^2xS3)432,302
(C3×C6).10(C22×S3) = C2×He3⋊2Q8φ: C22×S3/C2 → D6 ⊆ Aut C3×C6144(C3xC6).10(C2^2xS3)432,316
(C3×C6).11(C22×S3) = C2×C6.S32φ: C22×S3/C2 → D6 ⊆ Aut C3×C672(C3xC6).11(C2^2xS3)432,317
(C3×C6).12(C22×S3) = C62.8D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C67212-(C3xC6).12(C2^2xS3)432,318
(C3×C6).13(C22×S3) = C62.9D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C6726(C3xC6).13(C2^2xS3)432,319
(C3×C6).14(C22×S3) = C2×He3⋊2D4φ: C22×S3/C2 → D6 ⊆ Aut C3×C672(C3xC6).14(C2^2xS3)432,320
(C3×C6).15(C22×S3) = C2×He3⋊(C2×C4)φ: C22×S3/C2 → D6 ⊆ Aut C3×C672(C3xC6).15(C2^2xS3)432,321
(C3×C6).16(C22×S3) = C2×He3⋊3D4φ: C22×S3/C2 → D6 ⊆ Aut C3×C672(C3xC6).16(C2^2xS3)432,322
(C3×C6).17(C22×S3) = C62⋊D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C63612+(C3xC6).17(C2^2xS3)432,323
(C3×C6).18(C22×S3) = C62⋊2D6φ: C22×S3/C2 → D6 ⊆ Aut C3×C6366(C3xC6).18(C2^2xS3)432,324
(C3×C6).19(C22×S3) = C2×He3⋊3Q8φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).19(C2^2xS3)432,348
(C3×C6).20(C22×S3) = C2×C4×C32⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).20(C2^2xS3)432,349
(C3×C6).21(C22×S3) = C2×He3⋊4D4φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).21(C2^2xS3)432,350
(C3×C6).22(C22×S3) = C62.36D6φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).22(C2^2xS3)432,351
(C3×C6).23(C22×S3) = C2×C36.C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).23(C2^2xS3)432,352
(C3×C6).24(C22×S3) = C2×C4×C9⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).24(C2^2xS3)432,353
(C3×C6).25(C22×S3) = C2×D36⋊C3φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).25(C2^2xS3)432,354
(C3×C6).26(C22×S3) = D36⋊6C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).26(C2^2xS3)432,355
(C3×C6).27(C22×S3) = D4×C32⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C63612+(C3xC6).27(C2^2xS3)432,360
(C3×C6).28(C22×S3) = C62.13D6φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).28(C2^2xS3)432,361
(C3×C6).29(C22×S3) = D4×C9⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C63612+(C3xC6).29(C2^2xS3)432,362
(C3×C6).30(C22×S3) = Dic18⋊2C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).30(C2^2xS3)432,363
(C3×C6).31(C22×S3) = Q8×C32⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).31(C2^2xS3)432,368
(C3×C6).32(C22×S3) = (Q8×He3)⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).32(C2^2xS3)432,369
(C3×C6).33(C22×S3) = Q8×C9⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).33(C2^2xS3)432,370
(C3×C6).34(C22×S3) = D36⋊3C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).34(C2^2xS3)432,371
(C3×C6).35(C22×S3) = C22×C32⋊C12φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).35(C2^2xS3)432,376
(C3×C6).36(C22×S3) = C2×He3⋊6D4φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).36(C2^2xS3)432,377
(C3×C6).37(C22×S3) = C22×C9⋊C12φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).37(C2^2xS3)432,378
(C3×C6).38(C22×S3) = C2×Dic9⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).38(C2^2xS3)432,379
(C3×C6).39(C22×S3) = C2×He3⋊4Q8φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).39(C2^2xS3)432,384
(C3×C6).40(C22×S3) = C2×C4×He3⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).40(C2^2xS3)432,385
(C3×C6).41(C22×S3) = C2×He3⋊5D4φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).41(C2^2xS3)432,386
(C3×C6).42(C22×S3) = C62.47D6φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).42(C2^2xS3)432,387
(C3×C6).43(C22×S3) = D4×He3⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C6366(C3xC6).43(C2^2xS3)432,390
(C3×C6).44(C22×S3) = C62.16D6φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).44(C2^2xS3)432,391
(C3×C6).45(C22×S3) = Q8×He3⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).45(C2^2xS3)432,394
(C3×C6).46(C22×S3) = He3⋊5D4⋊C2φ: C22×S3/C22 → S3 ⊆ Aut C3×C6726(C3xC6).46(C2^2xS3)432,395
(C3×C6).47(C22×S3) = C22×He3⋊3C4φ: C22×S3/C22 → S3 ⊆ Aut C3×C6144(C3xC6).47(C2^2xS3)432,398
(C3×C6).48(C22×S3) = C2×He3⋊7D4φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).48(C2^2xS3)432,399
(C3×C6).49(C22×S3) = C23×C9⋊C6φ: C22×S3/C22 → S3 ⊆ Aut C3×C672(C3xC6).49(C2^2xS3)432,559
(C3×C6).50(C22×S3) = S32×Dic3φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).50(C2^2xS3)432,594
(C3×C6).51(C22×S3) = S3×C6.D6φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).51(C2^2xS3)432,595
(C3×C6).52(C22×S3) = Dic3⋊6S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).52(C2^2xS3)432,596
(C3×C6).53(C22×S3) = S3×D6⋊S3φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).53(C2^2xS3)432,597
(C3×C6).54(C22×S3) = S3×C3⋊D12φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).54(C2^2xS3)432,598
(C3×C6).55(C22×S3) = D6⋊4S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).55(C2^2xS3)432,599
(C3×C6).56(C22×S3) = D6⋊S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).56(C2^2xS3)432,600
(C3×C6).57(C22×S3) = (S3×C6)⋊D6φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).57(C2^2xS3)432,601
(C3×C6).58(C22×S3) = C3⋊S3⋊4D12φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).58(C2^2xS3)432,602
(C3×C6).59(C22×S3) = S3×C32⋊2Q8φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).59(C2^2xS3)432,603
(C3×C6).60(C22×S3) = C33⋊5(C2×Q8)φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).60(C2^2xS3)432,604
(C3×C6).61(C22×S3) = C33⋊6(C2×Q8)φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).61(C2^2xS3)432,605
(C3×C6).62(C22×S3) = (S3×C6).D6φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).62(C2^2xS3)432,606
(C3×C6).63(C22×S3) = D6.S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).63(C2^2xS3)432,607
(C3×C6).64(C22×S3) = D6.4S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).64(C2^2xS3)432,608
(C3×C6).65(C22×S3) = D6.3S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).65(C2^2xS3)432,609
(C3×C6).66(C22×S3) = D6⋊S3⋊S3φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).66(C2^2xS3)432,610
(C3×C6).67(C22×S3) = D6.6S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6488-(C3xC6).67(C2^2xS3)432,611
(C3×C6).68(C22×S3) = Dic3.S32φ: C22×S3/S3 → C22 ⊆ Aut C3×C6248+(C3xC6).68(C2^2xS3)432,612
(C3×C6).69(C22×S3) = D9×Dic6φ: C22×S3/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).69(C2^2xS3)432,280
(C3×C6).70(C22×S3) = D18.D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).70(C2^2xS3)432,281
(C3×C6).71(C22×S3) = Dic6⋊5D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).71(C2^2xS3)432,282
(C3×C6).72(C22×S3) = Dic18⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).72(C2^2xS3)432,283
(C3×C6).73(C22×S3) = S3×Dic18φ: C22×S3/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).73(C2^2xS3)432,284
(C3×C6).74(C22×S3) = D12⋊5D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).74(C2^2xS3)432,285
(C3×C6).75(C22×S3) = D12⋊D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).75(C2^2xS3)432,286
(C3×C6).76(C22×S3) = D6.D18φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).76(C2^2xS3)432,287
(C3×C6).77(C22×S3) = D36⋊5S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).77(C2^2xS3)432,288
(C3×C6).78(C22×S3) = Dic9.D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).78(C2^2xS3)432,289
(C3×C6).79(C22×S3) = C4×S3×D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).79(C2^2xS3)432,290
(C3×C6).80(C22×S3) = S3×D36φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).80(C2^2xS3)432,291
(C3×C6).81(C22×S3) = D9×D12φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).81(C2^2xS3)432,292
(C3×C6).82(C22×S3) = C36⋊D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).82(C2^2xS3)432,293
(C3×C6).83(C22×S3) = C2×C9⋊Dic6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).83(C2^2xS3)432,303
(C3×C6).84(C22×S3) = C2×Dic3×D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).84(C2^2xS3)432,304
(C3×C6).85(C22×S3) = D18.3D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).85(C2^2xS3)432,305
(C3×C6).86(C22×S3) = C2×C18.D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).86(C2^2xS3)432,306
(C3×C6).87(C22×S3) = C2×C3⋊D36φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).87(C2^2xS3)432,307
(C3×C6).88(C22×S3) = C2×S3×Dic9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).88(C2^2xS3)432,308
(C3×C6).89(C22×S3) = Dic3.D18φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).89(C2^2xS3)432,309
(C3×C6).90(C22×S3) = D18.4D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724-(C3xC6).90(C2^2xS3)432,310
(C3×C6).91(C22×S3) = C2×D6⋊D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).91(C2^2xS3)432,311
(C3×C6).92(C22×S3) = C2×C9⋊D12φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).92(C2^2xS3)432,312
(C3×C6).93(C22×S3) = S3×C9⋊D4φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).93(C2^2xS3)432,313
(C3×C6).94(C22×S3) = D9×C3⋊D4φ: C22×S3/C6 → C22 ⊆ Aut C3×C6724(C3xC6).94(C2^2xS3)432,314
(C3×C6).95(C22×S3) = D18⋊D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6364+(C3xC6).95(C2^2xS3)432,315
(C3×C6).96(C22×S3) = C22×S3×D9φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).96(C2^2xS3)432,544
(C3×C6).97(C22×S3) = S3×C32⋊4Q8φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).97(C2^2xS3)432,660
(C3×C6).98(C22×S3) = (C3×D12)⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).98(C2^2xS3)432,661
(C3×C6).99(C22×S3) = D12⋊(C3⋊S3)φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).99(C2^2xS3)432,662
(C3×C6).100(C22×S3) = C12.39S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).100(C2^2xS3)432,664
(C3×C6).101(C22×S3) = C12.40S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).101(C2^2xS3)432,665
(C3×C6).102(C22×S3) = C32⋊9(S3×Q8)φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).102(C2^2xS3)432,666
(C3×C6).103(C22×S3) = C12.73S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).103(C2^2xS3)432,667
(C3×C6).104(C22×S3) = C12.57S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).104(C2^2xS3)432,668
(C3×C6).105(C22×S3) = C12.58S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).105(C2^2xS3)432,669
(C3×C6).106(C22×S3) = S3×C12⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).106(C2^2xS3)432,671
(C3×C6).107(C22×S3) = C12⋊S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).107(C2^2xS3)432,673
(C3×C6).108(C22×S3) = C62.90D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).108(C2^2xS3)432,675
(C3×C6).109(C22×S3) = C62.91D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).109(C2^2xS3)432,676
(C3×C6).110(C22×S3) = C2×Dic3×C3⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C6144(C3xC6).110(C2^2xS3)432,677
(C3×C6).111(C22×S3) = C62.93D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).111(C2^2xS3)432,678
(C3×C6).112(C22×S3) = C2×C33⋊8(C2×C4)φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).112(C2^2xS3)432,679
(C3×C6).113(C22×S3) = S3×C32⋊7D4φ: C22×S3/C6 → C22 ⊆ Aut C3×C672(C3xC6).113(C2^2xS3)432,684
(C3×C6).114(C22×S3) = C62⋊23D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C636(C3xC6).114(C2^2xS3)432,686
(C3×C6).115(C22×S3) = C3⋊S3⋊4Dic6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6484(C3xC6).115(C2^2xS3)432,687
(C3×C6).116(C22×S3) = C12⋊S3⋊12S3φ: C22×S3/C6 → C22 ⊆ Aut C3×C6484(C3xC6).116(C2^2xS3)432,688
(C3×C6).117(C22×S3) = C12.95S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C6484(C3xC6).117(C2^2xS3)432,689
(C3×C6).118(C22×S3) = C4×C32⋊4D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6484(C3xC6).118(C2^2xS3)432,690
(C3×C6).119(C22×S3) = C12⋊3S32φ: C22×S3/C6 → C22 ⊆ Aut C3×C6484(C3xC6).119(C2^2xS3)432,691
(C3×C6).120(C22×S3) = C2×C33⋊9(C2×C4)φ: C22×S3/C6 → C22 ⊆ Aut C3×C648(C3xC6).120(C2^2xS3)432,692
(C3×C6).121(C22×S3) = C62.96D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6244(C3xC6).121(C2^2xS3)432,693
(C3×C6).122(C22×S3) = C2×C33⋊9D4φ: C22×S3/C6 → C22 ⊆ Aut C3×C648(C3xC6).122(C2^2xS3)432,694
(C3×C6).123(C22×S3) = C2×C33⋊5Q8φ: C22×S3/C6 → C22 ⊆ Aut C3×C648(C3xC6).123(C2^2xS3)432,695
(C3×C6).124(C22×S3) = C62⋊24D6φ: C22×S3/C6 → C22 ⊆ Aut C3×C6244(C3xC6).124(C2^2xS3)432,696
(C3×C6).125(C22×S3) = C3×S3×Dic6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).125(C2^2xS3)432,642
(C3×C6).126(C22×S3) = C3×D12⋊5S3φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).126(C2^2xS3)432,643
(C3×C6).127(C22×S3) = C3×D12⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).127(C2^2xS3)432,644
(C3×C6).128(C22×S3) = C3×Dic3.D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).128(C2^2xS3)432,645
(C3×C6).129(C22×S3) = C3×D6.D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).129(C2^2xS3)432,646
(C3×C6).130(C22×S3) = C3×D6.6D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).130(C2^2xS3)432,647
(C3×C6).131(C22×S3) = S32×C12φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).131(C2^2xS3)432,648
(C3×C6).132(C22×S3) = C3×S3×D12φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).132(C2^2xS3)432,649
(C3×C6).133(C22×S3) = C3×D6⋊D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6484(C3xC6).133(C2^2xS3)432,650
(C3×C6).134(C22×S3) = S3×C6×Dic3φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6).134(C2^2xS3)432,651
(C3×C6).135(C22×S3) = C3×D6.3D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6244(C3xC6).135(C2^2xS3)432,652
(C3×C6).136(C22×S3) = C3×D6.4D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6244(C3xC6).136(C2^2xS3)432,653
(C3×C6).137(C22×S3) = C6×C6.D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6).137(C2^2xS3)432,654
(C3×C6).138(C22×S3) = C6×D6⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6).138(C2^2xS3)432,655
(C3×C6).139(C22×S3) = C6×C3⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6).139(C2^2xS3)432,656
(C3×C6).140(C22×S3) = C6×C32⋊2Q8φ: C22×S3/D6 → C2 ⊆ Aut C3×C648(C3xC6).140(C2^2xS3)432,657
(C3×C6).141(C22×S3) = C3×S3×C3⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C3×C6244(C3xC6).141(C2^2xS3)432,658
(C3×C6).142(C22×S3) = C3×Dic3⋊D6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6244(C3xC6).142(C2^2xS3)432,659
(C3×C6).143(C22×S3) = C3⋊S3×Dic6φ: C22×S3/D6 → C2 ⊆ Aut C3×C6144(C3xC6).143(C2^2xS3)432,663
(C3×C6).144(C22×S3) = C4×S3×C3⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C3×C672(C3xC6).144(C2^2xS3)432,670
(C3×C6).145(C22×S3) = C3⋊S3×D12φ: C22×S3/D6 → C2 ⊆ Aut C3×C672(C3xC6).145(C2^2xS3)432,672
(C3×C6).146(C22×S3) = C2×S3×C3⋊Dic3φ: C22×S3/D6 → C2 ⊆ Aut C3×C6144(C3xC6).146(C2^2xS3)432,674
(C3×C6).147(C22×S3) = C2×C33⋊6D4φ: C22×S3/D6 → C2 ⊆ Aut C3×C6144(C3xC6).147(C2^2xS3)432,680
(C3×C6).148(C22×S3) = C2×C33⋊7D4φ: C22×S3/D6 → C2 ⊆ Aut C3×C672(C3xC6).148(C2^2xS3)432,681
(C3×C6).149(C22×S3) = C2×C33⋊8D4φ: C22×S3/D6 → C2 ⊆ Aut C3×C672(C3xC6).149(C2^2xS3)432,682
(C3×C6).150(C22×S3) = C2×C33⋊4Q8φ: C22×S3/D6 → C2 ⊆ Aut C3×C6144(C3xC6).150(C2^2xS3)432,683
(C3×C6).151(C22×S3) = C3⋊S3×C3⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C3×C672(C3xC6).151(C2^2xS3)432,685
(C3×C6).152(C22×S3) = C6×Dic18φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).152(C2^2xS3)432,340
(C3×C6).153(C22×S3) = D9×C2×C12φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).153(C2^2xS3)432,342
(C3×C6).154(C22×S3) = C6×D36φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).154(C2^2xS3)432,343
(C3×C6).155(C22×S3) = C3×D36⋊5C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6722(C3xC6).155(C2^2xS3)432,344
(C3×C6).156(C22×S3) = C3×D4×D9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6724(C3xC6).156(C2^2xS3)432,356
(C3×C6).157(C22×S3) = C3×D4⋊2D9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6724(C3xC6).157(C2^2xS3)432,357
(C3×C6).158(C22×S3) = C3×Q8×D9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C61444(C3xC6).158(C2^2xS3)432,364
(C3×C6).159(C22×S3) = C3×Q8⋊3D9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C61444(C3xC6).159(C2^2xS3)432,365
(C3×C6).160(C22×S3) = C2×C6×Dic9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).160(C2^2xS3)432,372
(C3×C6).161(C22×S3) = C6×C9⋊D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).161(C2^2xS3)432,374
(C3×C6).162(C22×S3) = C2×C12.D9φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).162(C2^2xS3)432,380
(C3×C6).163(C22×S3) = C2×C4×C9⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).163(C2^2xS3)432,381
(C3×C6).164(C22×S3) = C2×C36⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).164(C2^2xS3)432,382
(C3×C6).165(C22×S3) = C36.70D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).165(C2^2xS3)432,383
(C3×C6).166(C22×S3) = D4×C9⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6108(C3xC6).166(C2^2xS3)432,388
(C3×C6).167(C22×S3) = C36.27D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).167(C2^2xS3)432,389
(C3×C6).168(C22×S3) = Q8×C9⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).168(C2^2xS3)432,392
(C3×C6).169(C22×S3) = C36.29D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).169(C2^2xS3)432,393
(C3×C6).170(C22×S3) = C22×C9⋊Dic3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).170(C2^2xS3)432,396
(C3×C6).171(C22×S3) = C2×C6.D18φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).171(C2^2xS3)432,397
(C3×C6).172(C22×S3) = D9×C22×C6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).172(C2^2xS3)432,556
(C3×C6).173(C22×S3) = C23×C9⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).173(C2^2xS3)432,560
(C3×C6).174(C22×S3) = C6×C32⋊4Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).174(C2^2xS3)432,710
(C3×C6).175(C22×S3) = C3⋊S3×C2×C12φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).175(C2^2xS3)432,711
(C3×C6).176(C22×S3) = C6×C12⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).176(C2^2xS3)432,712
(C3×C6).177(C22×S3) = C3×C12.59D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).177(C2^2xS3)432,713
(C3×C6).178(C22×S3) = C3×D4×C3⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).178(C2^2xS3)432,714
(C3×C6).179(C22×S3) = C3×C12.D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).179(C2^2xS3)432,715
(C3×C6).180(C22×S3) = C3×Q8×C3⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).180(C2^2xS3)432,716
(C3×C6).181(C22×S3) = C3×C12.26D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).181(C2^2xS3)432,717
(C3×C6).182(C22×S3) = C2×C6×C3⋊Dic3φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).182(C2^2xS3)432,718
(C3×C6).183(C22×S3) = C6×C32⋊7D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).183(C2^2xS3)432,719
(C3×C6).184(C22×S3) = C2×C33⋊8Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).184(C2^2xS3)432,720
(C3×C6).185(C22×S3) = C2×C4×C33⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).185(C2^2xS3)432,721
(C3×C6).186(C22×S3) = C2×C33⋊12D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).186(C2^2xS3)432,722
(C3×C6).187(C22×S3) = C62.160D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).187(C2^2xS3)432,723
(C3×C6).188(C22×S3) = D4×C33⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6108(C3xC6).188(C2^2xS3)432,724
(C3×C6).189(C22×S3) = C62.100D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).189(C2^2xS3)432,725
(C3×C6).190(C22×S3) = Q8×C33⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).190(C2^2xS3)432,726
(C3×C6).191(C22×S3) = (Q8×C33)⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).191(C2^2xS3)432,727
(C3×C6).192(C22×S3) = C22×C33⋊5C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).192(C2^2xS3)432,728
(C3×C6).193(C22×S3) = C2×C33⋊15D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).193(C2^2xS3)432,729
(C3×C6).194(C22×S3) = C3×C6×Dic6central extension (φ=1)144(C3xC6).194(C2^2xS3)432,700
(C3×C6).195(C22×S3) = S3×C6×C12central extension (φ=1)144(C3xC6).195(C2^2xS3)432,701
(C3×C6).196(C22×S3) = C3×C6×D12central extension (φ=1)144(C3xC6).196(C2^2xS3)432,702
(C3×C6).197(C22×S3) = C32×C4○D12central extension (φ=1)72(C3xC6).197(C2^2xS3)432,703
(C3×C6).198(C22×S3) = S3×D4×C32central extension (φ=1)72(C3xC6).198(C2^2xS3)432,704
(C3×C6).199(C22×S3) = C32×D4⋊2S3central extension (φ=1)72(C3xC6).199(C2^2xS3)432,705
(C3×C6).200(C22×S3) = S3×Q8×C32central extension (φ=1)144(C3xC6).200(C2^2xS3)432,706
(C3×C6).201(C22×S3) = C32×Q8⋊3S3central extension (φ=1)144(C3xC6).201(C2^2xS3)432,707
(C3×C6).202(C22×S3) = Dic3×C62central extension (φ=1)144(C3xC6).202(C2^2xS3)432,708
(C3×C6).203(C22×S3) = C3×C6×C3⋊D4central extension (φ=1)72(C3xC6).203(C2^2xS3)432,709

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