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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C3⋊D4

Direct product G=N×Q with N=C3×C6 and Q=C3⋊D4
dρLabelID
C3×C6×C3⋊D472C3xC6xC3:D4432,709

Semidirect products G=N:Q with N=C3×C6 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊1(C3⋊D4) = C2×He3⋊2D4φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C672(C3xC6):1(C3:D4)432,320
(C3×C6)⋊2(C3⋊D4) = C2×He3⋊3D4φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C672(C3xC6):2(C3:D4)432,322
(C3×C6)⋊3(C3⋊D4) = C2×C33⋊D4φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6):3(C3:D4)432,755
(C3×C6)⋊4(C3⋊D4) = C2×He3⋊6D4φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6):4(C3:D4)432,377
(C3×C6)⋊5(C3⋊D4) = C2×He3⋊7D4φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6):5(C3:D4)432,399
(C3×C6)⋊6(C3⋊D4) = C2×C33⋊6D4φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6):6(C3:D4)432,680
(C3×C6)⋊7(C3⋊D4) = C2×C33⋊7D4φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6):7(C3:D4)432,681
(C3×C6)⋊8(C3⋊D4) = C2×C33⋊9D4φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C648(C3xC6):8(C3:D4)432,694
(C3×C6)⋊9(C3⋊D4) = C6×C3⋊D12φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C648(C3xC6):9(C3:D4)432,656
(C3×C6)⋊10(C3⋊D4) = C2×C33⋊8D4φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C672(C3xC6):10(C3:D4)432,682
(C3×C6)⋊11(C3⋊D4) = C6×D6⋊S3φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C648(C3xC6):11(C3:D4)432,655
(C3×C6)⋊12(C3⋊D4) = C6×C32⋊7D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6):12(C3:D4)432,719
(C3×C6)⋊13(C3⋊D4) = C2×C33⋊15D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6):13(C3:D4)432,729

Non-split extensions G=N.Q with N=C3×C6 and Q=C3⋊D4
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C3⋊D4) = He3⋊3SD16φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C6726(C3xC6).1(C3:D4)432,78
(C3×C6).2(C3⋊D4) = He3⋊2D8φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C6726+(C3xC6).2(C3:D4)432,79
(C3×C6).3(C3⋊D4) = He3⋊2Q16φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C61446-(C3xC6).3(C3:D4)432,80
(C3×C6).4(C3⋊D4) = He3⋊3D8φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C67212+(C3xC6).4(C3:D4)432,83
(C3×C6).5(C3⋊D4) = He3⋊4SD16φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C67212-(C3xC6).5(C3:D4)432,84
(C3×C6).6(C3⋊D4) = He3⋊5SD16φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C67212+(C3xC6).6(C3:D4)432,85
(C3×C6).7(C3⋊D4) = He3⋊3Q16φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C614412-(C3xC6).7(C3:D4)432,86
(C3×C6).8(C3⋊D4) = C62.D6φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C6144(C3xC6).8(C3:D4)432,95
(C3×C6).9(C3⋊D4) = C62.3D6φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C6144(C3xC6).9(C3:D4)432,96
(C3×C6).10(C3⋊D4) = C62.4D6φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C672(C3xC6).10(C3:D4)432,97
(C3×C6).11(C3⋊D4) = C62.5D6φ: C3⋊D4/C2 → D6 ⊆ Aut C3×C672(C3xC6).11(C3:D4)432,98
(C3×C6).12(C3⋊D4) = C3⋊S3.2D12φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6).12(C3:D4)432,579
(C3×C6).13(C3⋊D4) = S32⋊Dic3φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6).13(C3:D4)432,580
(C3×C6).14(C3⋊D4) = C33⋊C4⋊C4φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6484(C3xC6).14(C3:D4)432,581
(C3×C6).15(C3⋊D4) = C33⋊D8φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6).15(C3:D4)432,582
(C3×C6).16(C3⋊D4) = C33⋊6SD16φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6).16(C3:D4)432,583
(C3×C6).17(C3⋊D4) = C33⋊7SD16φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6244(C3xC6).17(C3:D4)432,584
(C3×C6).18(C3⋊D4) = C33⋊Q16φ: C3⋊D4/C3 → D4 ⊆ Aut C3×C6484(C3xC6).18(C3:D4)432,585
(C3×C6).19(C3⋊D4) = C62.19D6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6144(C3xC6).19(C3:D4)432,139
(C3×C6).20(C3⋊D4) = C62.21D6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).20(C3:D4)432,141
(C3×C6).21(C3⋊D4) = Dic9⋊C12φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6144(C3xC6).21(C3:D4)432,145
(C3×C6).22(C3⋊D4) = D18⋊C12φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).22(C3:D4)432,147
(C3×C6).23(C3⋊D4) = He3⋊8SD16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).23(C3:D4)432,152
(C3×C6).24(C3⋊D4) = He3⋊6D8φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).24(C3:D4)432,153
(C3×C6).25(C3⋊D4) = Dic18⋊C6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212-(C3xC6).25(C3:D4)432,154
(C3×C6).26(C3⋊D4) = D36⋊C6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).26(C3:D4)432,155
(C3×C6).27(C3⋊D4) = He3⋊6Q16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C614412-(C3xC6).27(C3:D4)432,160
(C3×C6).28(C3⋊D4) = He3⋊10SD16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).28(C3:D4)432,161
(C3×C6).29(C3⋊D4) = Dic18.C6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C614412-(C3xC6).29(C3:D4)432,162
(C3×C6).30(C3⋊D4) = D36.C6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C67212+(C3xC6).30(C3:D4)432,163
(C3×C6).31(C3⋊D4) = C62⋊3C12φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).31(C3:D4)432,166
(C3×C6).32(C3⋊D4) = C62.27D6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).32(C3:D4)432,167
(C3×C6).33(C3⋊D4) = C62.29D6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6144(C3xC6).33(C3:D4)432,187
(C3×C6).34(C3⋊D4) = C62.31D6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).34(C3:D4)432,189
(C3×C6).35(C3⋊D4) = He3⋊7D8φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6726(C3xC6).35(C3:D4)432,192
(C3×C6).36(C3⋊D4) = He3⋊9SD16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6726(C3xC6).36(C3:D4)432,193
(C3×C6).37(C3⋊D4) = He3⋊11SD16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C6726(C3xC6).37(C3:D4)432,196
(C3×C6).38(C3⋊D4) = He3⋊7Q16φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C61446(C3xC6).38(C3:D4)432,197
(C3×C6).39(C3⋊D4) = C62⋊4Dic3φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).39(C3:D4)432,199
(C3×C6).40(C3⋊D4) = C2×Dic9⋊C6φ: C3⋊D4/C22 → S3 ⊆ Aut C3×C672(C3xC6).40(C3:D4)432,379
(C3×C6).41(C3⋊D4) = D36⋊S3φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444(C3xC6).41(C3:D4)432,68
(C3×C6).42(C3⋊D4) = C9⋊D24φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).42(C3:D4)432,69
(C3×C6).43(C3⋊D4) = D12.D9φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444(C3xC6).43(C3:D4)432,70
(C3×C6).44(C3⋊D4) = C36.D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).44(C3:D4)432,71
(C3×C6).45(C3⋊D4) = Dic6⋊D9φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444(C3xC6).45(C3:D4)432,72
(C3×C6).46(C3⋊D4) = C18.D12φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6724+(C3xC6).46(C3:D4)432,73
(C3×C6).47(C3⋊D4) = C12.D18φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444(C3xC6).47(C3:D4)432,74
(C3×C6).48(C3⋊D4) = C9⋊Dic12φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C61444-(C3xC6).48(C3:D4)432,75
(C3×C6).49(C3⋊D4) = Dic9⋊Dic3φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).49(C3:D4)432,88
(C3×C6).50(C3⋊D4) = C18.Dic6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).50(C3:D4)432,89
(C3×C6).51(C3⋊D4) = D18⋊Dic3φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).51(C3:D4)432,91
(C3×C6).52(C3⋊D4) = C6.18D36φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6).52(C3:D4)432,92
(C3×C6).53(C3⋊D4) = D6⋊Dic9φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).53(C3:D4)432,93
(C3×C6).54(C3⋊D4) = C2×D6⋊D9φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).54(C3:D4)432,311
(C3×C6).55(C3⋊D4) = C2×C9⋊D12φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6).55(C3:D4)432,312
(C3×C6).56(C3⋊D4) = C33⋊7D8φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6).56(C3:D4)432,437
(C3×C6).57(C3⋊D4) = C33⋊14SD16φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).57(C3:D4)432,441
(C3×C6).58(C3⋊D4) = C33⋊15SD16φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6).58(C3:D4)432,442
(C3×C6).59(C3⋊D4) = C33⋊7Q16φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).59(C3:D4)432,446
(C3×C6).60(C3⋊D4) = C62.77D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).60(C3:D4)432,449
(C3×C6).61(C3⋊D4) = C62.78D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).61(C3:D4)432,450
(C3×C6).62(C3⋊D4) = C62.79D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C672(C3xC6).62(C3:D4)432,451
(C3×C6).63(C3⋊D4) = C62.81D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).63(C3:D4)432,453
(C3×C6).64(C3⋊D4) = C62.82D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6144(C3xC6).64(C3:D4)432,454
(C3×C6).65(C3⋊D4) = C33⋊9D8φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6484(C3xC6).65(C3:D4)432,457
(C3×C6).66(C3⋊D4) = C33⋊18SD16φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6484(C3xC6).66(C3:D4)432,458
(C3×C6).67(C3⋊D4) = C33⋊9Q16φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C6484(C3xC6).67(C3:D4)432,459
(C3×C6).68(C3⋊D4) = C62.84D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C648(C3xC6).68(C3:D4)432,461
(C3×C6).69(C3⋊D4) = C62.85D6φ: C3⋊D4/C6 → C22 ⊆ Aut C3×C648(C3xC6).69(C3:D4)432,462
(C3×C6).70(C3⋊D4) = C3×C3⋊D24φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6484(C3xC6).70(C3:D4)432,419
(C3×C6).71(C3⋊D4) = C3×D12.S3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6484(C3xC6).71(C3:D4)432,421
(C3×C6).72(C3⋊D4) = C3×C32⋊5SD16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6484(C3xC6).72(C3:D4)432,422
(C3×C6).73(C3⋊D4) = C3×C32⋊3Q16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6484(C3xC6).73(C3:D4)432,424
(C3×C6).74(C3⋊D4) = C3×D6⋊Dic3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C648(C3xC6).74(C3:D4)432,426
(C3×C6).75(C3⋊D4) = C3×C6.D12φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C648(C3xC6).75(C3:D4)432,427
(C3×C6).76(C3⋊D4) = C3×Dic3⋊Dic3φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C648(C3xC6).76(C3:D4)432,428
(C3×C6).77(C3⋊D4) = C33⋊8D8φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C672(C3xC6).77(C3:D4)432,438
(C3×C6).78(C3⋊D4) = C33⋊16SD16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6144(C3xC6).78(C3:D4)432,443
(C3×C6).79(C3⋊D4) = C33⋊17SD16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C672(C3xC6).79(C3:D4)432,444
(C3×C6).80(C3⋊D4) = C33⋊8Q16φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6144(C3xC6).80(C3:D4)432,447
(C3×C6).81(C3⋊D4) = C62.80D6φ: C3⋊D4/Dic3 → C2 ⊆ Aut C3×C6144(C3xC6).81(C3:D4)432,452
(C3×C6).82(C3⋊D4) = C3×C32⋊2D8φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6484(C3xC6).82(C3:D4)432,418
(C3×C6).83(C3⋊D4) = C3×Dic6⋊S3φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6484(C3xC6).83(C3:D4)432,420
(C3×C6).84(C3⋊D4) = C3×C32⋊2Q16φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6484(C3xC6).84(C3:D4)432,423
(C3×C6).85(C3⋊D4) = C3×C62.C22φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C648(C3xC6).85(C3:D4)432,429
(C3×C6).86(C3⋊D4) = C33⋊6D8φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6144(C3xC6).86(C3:D4)432,436
(C3×C6).87(C3⋊D4) = C33⋊12SD16φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6144(C3xC6).87(C3:D4)432,439
(C3×C6).88(C3⋊D4) = C33⋊13SD16φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6144(C3xC6).88(C3:D4)432,440
(C3×C6).89(C3⋊D4) = C33⋊6Q16φ: C3⋊D4/D6 → C2 ⊆ Aut C3×C6144(C3xC6).89(C3:D4)432,445
(C3×C6).90(C3⋊D4) = C3×Dic9⋊C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).90(C3:D4)432,129
(C3×C6).91(C3⋊D4) = C3×D18⋊C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).91(C3:D4)432,134
(C3×C6).92(C3⋊D4) = C3×D4.D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6724(C3xC6).92(C3:D4)432,148
(C3×C6).93(C3⋊D4) = C3×D4⋊D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6724(C3xC6).93(C3:D4)432,149
(C3×C6).94(C3⋊D4) = C3×C9⋊Q16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C61444(C3xC6).94(C3:D4)432,156
(C3×C6).95(C3⋊D4) = C3×Q8⋊2D9φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C61444(C3xC6).95(C3:D4)432,157
(C3×C6).96(C3⋊D4) = C3×C18.D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).96(C3:D4)432,164
(C3×C6).97(C3⋊D4) = C6.Dic18φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).97(C3:D4)432,181
(C3×C6).98(C3⋊D4) = C6.11D36φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).98(C3:D4)432,183
(C3×C6).99(C3⋊D4) = C36.17D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).99(C3:D4)432,190
(C3×C6).100(C3⋊D4) = C36.18D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).100(C3:D4)432,191
(C3×C6).101(C3⋊D4) = C36.19D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).101(C3:D4)432,194
(C3×C6).102(C3⋊D4) = C36.20D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).102(C3:D4)432,195
(C3×C6).103(C3⋊D4) = C62.127D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).103(C3:D4)432,198
(C3×C6).104(C3⋊D4) = C6×C9⋊D4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).104(C3:D4)432,374
(C3×C6).105(C3⋊D4) = C2×C6.D18φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).105(C3:D4)432,397
(C3×C6).106(C3⋊D4) = C3×C6.Dic6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).106(C3:D4)432,488
(C3×C6).107(C3⋊D4) = C3×C6.11D12φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).107(C3:D4)432,490
(C3×C6).108(C3⋊D4) = C3×C32⋊7D8φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).108(C3:D4)432,491
(C3×C6).109(C3⋊D4) = C3×C32⋊9SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).109(C3:D4)432,492
(C3×C6).110(C3⋊D4) = C3×C32⋊11SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).110(C3:D4)432,493
(C3×C6).111(C3⋊D4) = C3×C32⋊7Q16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6144(C3xC6).111(C3:D4)432,494
(C3×C6).112(C3⋊D4) = C3×C62⋊5C4φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C672(C3xC6).112(C3:D4)432,495
(C3×C6).113(C3⋊D4) = C62.146D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).113(C3:D4)432,504
(C3×C6).114(C3⋊D4) = C62.148D6φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).114(C3:D4)432,506
(C3×C6).115(C3⋊D4) = C33⋊15D8φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).115(C3:D4)432,507
(C3×C6).116(C3⋊D4) = C33⋊24SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).116(C3:D4)432,508
(C3×C6).117(C3⋊D4) = C33⋊27SD16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).117(C3:D4)432,509
(C3×C6).118(C3⋊D4) = C33⋊15Q16φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6432(C3xC6).118(C3:D4)432,510
(C3×C6).119(C3⋊D4) = C63.C2φ: C3⋊D4/C2×C6 → C2 ⊆ Aut C3×C6216(C3xC6).119(C3:D4)432,511
(C3×C6).120(C3⋊D4) = C32×Dic3⋊C4central extension (φ=1)144(C3xC6).120(C3:D4)432,472
(C3×C6).121(C3⋊D4) = C32×D6⋊C4central extension (φ=1)144(C3xC6).121(C3:D4)432,474
(C3×C6).122(C3⋊D4) = C32×D4⋊S3central extension (φ=1)72(C3xC6).122(C3:D4)432,475
(C3×C6).123(C3⋊D4) = C32×D4.S3central extension (φ=1)72(C3xC6).123(C3:D4)432,476
(C3×C6).124(C3⋊D4) = C32×Q8⋊2S3central extension (φ=1)144(C3xC6).124(C3:D4)432,477
(C3×C6).125(C3⋊D4) = C32×C3⋊Q16central extension (φ=1)144(C3xC6).125(C3:D4)432,478
(C3×C6).126(C3⋊D4) = C32×C6.D4central extension (φ=1)72(C3xC6).126(C3:D4)432,479

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