# 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
D4×C32×C6216D4xC3^2xC6432,731

Semidirect products G=N:Q with N=C3×C6 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊(C3×D4) = C6×S3≀C2φ: C3×D4/C3D4 ⊆ Aut C3×C6244(C3xC6):(C3xD4)432,754
(C3×C6)⋊2(C3×D4) = C2×He34D4φ: C3×D4/C4C6 ⊆ Aut C3×C672(C3xC6):2(C3xD4)432,350
(C3×C6)⋊3(C3×D4) = C2×He36D4φ: C3×D4/C22C6 ⊆ Aut C3×C672(C3xC6):3(C3xD4)432,377
(C3×C6)⋊4(C3×D4) = C6×D6⋊S3φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6):4(C3xD4)432,655
(C3×C6)⋊5(C3×D4) = C6×C3⋊D12φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6):5(C3xD4)432,656
(C3×C6)⋊6(C3×D4) = C2×D4×He3φ: C3×D4/D4C3 ⊆ Aut C3×C672(C3xC6):6(C3xD4)432,404
(C3×C6)⋊7(C3×D4) = C3×C6×D12φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6):7(C3xD4)432,702
(C3×C6)⋊8(C3×D4) = C6×C12⋊S3φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6):8(C3xD4)432,712
(C3×C6)⋊9(C3×D4) = C3×C6×C3⋊D4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6):9(C3xD4)432,709
(C3×C6)⋊10(C3×D4) = C6×C327D4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6):10(C3xD4)432,719

Non-split extensions G=N.Q with N=C3×C6 and Q=C3×D4
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C3×D4) = C3×S32⋊C4φ: C3×D4/C3D4 ⊆ Aut C3×C6244(C3xC6).1(C3xD4)432,574
(C3×C6).2(C3×D4) = C3×C3⋊S3.Q8φ: C3×D4/C3D4 ⊆ Aut C3×C6484(C3xC6).2(C3xD4)432,575
(C3×C6).3(C3×D4) = C3×C32⋊D8φ: C3×D4/C3D4 ⊆ Aut C3×C6244(C3xC6).3(C3xD4)432,576
(C3×C6).4(C3×D4) = C3×C322SD16φ: C3×D4/C3D4 ⊆ Aut C3×C6244(C3xC6).4(C3xD4)432,577
(C3×C6).5(C3×D4) = C3×C32⋊Q16φ: C3×D4/C3D4 ⊆ Aut C3×C6484(C3xC6).5(C3xD4)432,578
(C3×C6).6(C3×D4) = He34Q16φ: C3×D4/C4C6 ⊆ Aut C3×C61446-(C3xC6).6(C3xD4)432,114
(C3×C6).7(C3×D4) = He36SD16φ: C3×D4/C4C6 ⊆ Aut C3×C6726(C3xC6).7(C3xD4)432,117
(C3×C6).8(C3×D4) = He34D8φ: C3×D4/C4C6 ⊆ Aut C3×C6726+(C3xC6).8(C3xD4)432,118
(C3×C6).9(C3×D4) = C62.20D6φ: C3×D4/C4C6 ⊆ Aut C3×C6144(C3xC6).9(C3xD4)432,140
(C3×C6).10(C3×D4) = C62.21D6φ: C3×D4/C4C6 ⊆ Aut C3×C672(C3xC6).10(C3xD4)432,141
(C3×C6).11(C3×D4) = C62.19D6φ: C3×D4/C22C6 ⊆ Aut C3×C6144(C3xC6).11(C3xD4)432,139
(C3×C6).12(C3×D4) = He38SD16φ: C3×D4/C22C6 ⊆ Aut C3×C67212-(C3xC6).12(C3xD4)432,152
(C3×C6).13(C3×D4) = He36D8φ: C3×D4/C22C6 ⊆ Aut C3×C67212+(C3xC6).13(C3xD4)432,153
(C3×C6).14(C3×D4) = He36Q16φ: C3×D4/C22C6 ⊆ Aut C3×C614412-(C3xC6).14(C3xD4)432,160
(C3×C6).15(C3×D4) = He310SD16φ: C3×D4/C22C6 ⊆ Aut C3×C67212+(C3xC6).15(C3xD4)432,161
(C3×C6).16(C3×D4) = C623C12φ: C3×D4/C22C6 ⊆ Aut C3×C672(C3xC6).16(C3xD4)432,166
(C3×C6).17(C3×D4) = C3×C322D8φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).17(C3xD4)432,418
(C3×C6).18(C3×D4) = C3×C3⋊D24φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).18(C3xD4)432,419
(C3×C6).19(C3×D4) = C3×Dic6⋊S3φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).19(C3xD4)432,420
(C3×C6).20(C3×D4) = C3×D12.S3φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).20(C3xD4)432,421
(C3×C6).21(C3×D4) = C3×C325SD16φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).21(C3xD4)432,422
(C3×C6).22(C3×D4) = C3×C322Q16φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).22(C3xD4)432,423
(C3×C6).23(C3×D4) = C3×C323Q16φ: C3×D4/C6C22 ⊆ Aut C3×C6484(C3xC6).23(C3xD4)432,424
(C3×C6).24(C3×D4) = C3×D6⋊Dic3φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6).24(C3xD4)432,426
(C3×C6).25(C3×D4) = C3×C6.D12φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6).25(C3xD4)432,427
(C3×C6).26(C3×D4) = C3×Dic3⋊Dic3φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6).26(C3xD4)432,428
(C3×C6).27(C3×D4) = C3×C62.C22φ: C3×D4/C6C22 ⊆ Aut C3×C648(C3xC6).27(C3xD4)432,429
(C3×C6).28(C3×D4) = C22⋊C4×He3φ: C3×D4/D4C3 ⊆ Aut C3×C672(C3xC6).28(C3xD4)432,204
(C3×C6).29(C3×D4) = C22⋊C4×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C672(C3xC6).29(C3xD4)432,205
(C3×C6).30(C3×D4) = C4⋊C4×He3φ: C3×D4/D4C3 ⊆ Aut C3×C6144(C3xC6).30(C3xD4)432,207
(C3×C6).31(C3×D4) = C4⋊C4×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C6144(C3xC6).31(C3xD4)432,208
(C3×C6).32(C3×D4) = D8×He3φ: C3×D4/D4C3 ⊆ Aut C3×C6726(C3xC6).32(C3xD4)432,216
(C3×C6).33(C3×D4) = D8×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C6726(C3xC6).33(C3xD4)432,217
(C3×C6).34(C3×D4) = SD16×He3φ: C3×D4/D4C3 ⊆ Aut C3×C6726(C3xC6).34(C3xD4)432,219
(C3×C6).35(C3×D4) = SD16×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C6726(C3xC6).35(C3xD4)432,220
(C3×C6).36(C3×D4) = Q16×He3φ: C3×D4/D4C3 ⊆ Aut C3×C61446(C3xC6).36(C3xD4)432,222
(C3×C6).37(C3×D4) = Q16×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C61446(C3xC6).37(C3xD4)432,223
(C3×C6).38(C3×D4) = C2×D4×3- 1+2φ: C3×D4/D4C3 ⊆ Aut C3×C672(C3xC6).38(C3xD4)432,405
(C3×C6).39(C3×D4) = C9×C24⋊C2φ: C3×D4/C12C2 ⊆ Aut C3×C61442(C3xC6).39(C3xD4)432,111
(C3×C6).40(C3×D4) = C9×D24φ: C3×D4/C12C2 ⊆ Aut C3×C61442(C3xC6).40(C3xD4)432,112
(C3×C6).41(C3×D4) = C9×Dic12φ: C3×D4/C12C2 ⊆ Aut C3×C61442(C3xC6).41(C3xD4)432,113
(C3×C6).42(C3×D4) = C9×C4⋊Dic3φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).42(C3xD4)432,133
(C3×C6).43(C3×D4) = C18×D12φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).43(C3xD4)432,346
(C3×C6).44(C3×D4) = C32×C24⋊C2φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).44(C3xD4)432,466
(C3×C6).45(C3×D4) = C32×D24φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).45(C3xD4)432,467
(C3×C6).46(C3×D4) = C32×Dic12φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).46(C3xD4)432,468
(C3×C6).47(C3×D4) = C32×C4⋊Dic3φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).47(C3xD4)432,473
(C3×C6).48(C3×D4) = C32×D6⋊C4φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).48(C3xD4)432,474
(C3×C6).49(C3×D4) = C3×C242S3φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).49(C3xD4)432,482
(C3×C6).50(C3×D4) = C3×C325D8φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).50(C3xD4)432,483
(C3×C6).51(C3×D4) = C3×C325Q16φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).51(C3xD4)432,484
(C3×C6).52(C3×D4) = C3×C12⋊Dic3φ: C3×D4/C12C2 ⊆ Aut C3×C6144(C3xC6).52(C3xD4)432,489
(C3×C6).53(C3×D4) = C9×Dic3⋊C4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).53(C3xD4)432,132
(C3×C6).54(C3×D4) = C9×D6⋊C4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).54(C3xD4)432,135
(C3×C6).55(C3×D4) = C9×D4⋊S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6724(C3xC6).55(C3xD4)432,150
(C3×C6).56(C3×D4) = C9×D4.S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6724(C3xC6).56(C3xD4)432,151
(C3×C6).57(C3×D4) = C9×Q82S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C61444(C3xC6).57(C3xD4)432,158
(C3×C6).58(C3×D4) = C9×C3⋊Q16φ: C3×D4/C2×C6C2 ⊆ Aut C3×C61444(C3xC6).58(C3xD4)432,159
(C3×C6).59(C3×D4) = C9×C6.D4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).59(C3xD4)432,165
(C3×C6).60(C3×D4) = C18×C3⋊D4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).60(C3xD4)432,375
(C3×C6).61(C3×D4) = C32×Dic3⋊C4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).61(C3xD4)432,472
(C3×C6).62(C3×D4) = C32×D4⋊S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).62(C3xD4)432,475
(C3×C6).63(C3×D4) = C32×D4.S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).63(C3xD4)432,476
(C3×C6).64(C3×D4) = C32×Q82S3φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).64(C3xD4)432,477
(C3×C6).65(C3×D4) = C32×C3⋊Q16φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).65(C3xD4)432,478
(C3×C6).66(C3×D4) = C32×C6.D4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).66(C3xD4)432,479
(C3×C6).67(C3×D4) = C3×C6.Dic6φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).67(C3xD4)432,488
(C3×C6).68(C3×D4) = C3×C6.11D12φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).68(C3xD4)432,490
(C3×C6).69(C3×D4) = C3×C327D8φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).69(C3xD4)432,491
(C3×C6).70(C3×D4) = C3×C329SD16φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).70(C3xD4)432,492
(C3×C6).71(C3×D4) = C3×C3211SD16φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).71(C3xD4)432,493
(C3×C6).72(C3×D4) = C3×C327Q16φ: C3×D4/C2×C6C2 ⊆ Aut C3×C6144(C3xC6).72(C3xD4)432,494
(C3×C6).73(C3×D4) = C3×C625C4φ: C3×D4/C2×C6C2 ⊆ Aut C3×C672(C3xC6).73(C3xD4)432,495
(C3×C6).74(C3×D4) = C22⋊C4×C3×C9central extension (φ=1)216(C3xC6).74(C3xD4)432,203
(C3×C6).75(C3×D4) = C4⋊C4×C3×C9central extension (φ=1)432(C3xC6).75(C3xD4)432,206
(C3×C6).76(C3×D4) = D8×C3×C9central extension (φ=1)216(C3xC6).76(C3xD4)432,215
(C3×C6).77(C3×D4) = SD16×C3×C9central extension (φ=1)216(C3xC6).77(C3xD4)432,218
(C3×C6).78(C3×D4) = Q16×C3×C9central extension (φ=1)432(C3xC6).78(C3xD4)432,221
(C3×C6).79(C3×D4) = D4×C3×C18central extension (φ=1)216(C3xC6).79(C3xD4)432,403
(C3×C6).80(C3×D4) = C22⋊C4×C33central extension (φ=1)216(C3xC6).80(C3xD4)432,513
(C3×C6).81(C3×D4) = C4⋊C4×C33central extension (φ=1)432(C3xC6).81(C3xD4)432,514
(C3×C6).82(C3×D4) = D8×C33central extension (φ=1)216(C3xC6).82(C3xD4)432,517
(C3×C6).83(C3×D4) = SD16×C33central extension (φ=1)216(C3xC6).83(C3xD4)432,518
(C3×C6).84(C3×D4) = Q16×C33central extension (φ=1)432(C3xC6).84(C3xD4)432,519

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