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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C2×C8

Direct product G=N×Q with N=C3×C6 and Q=C2×C8
dρLabelID
C2×C6×C24288C2xC6xC24288,826

Semidirect products G=N:Q with N=C3×C6 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊(C2×C8) = C22×F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C636(C3xC6):(C2xC8)288,1030
(C3×C6)⋊2(C2×C8) = C2×C3⋊S3⋊3C8φ: C2×C8/C4 → C4 ⊆ Aut C3×C648(C3xC6):2(C2xC8)288,929
(C3×C6)⋊3(C2×C8) = C2×S3×C3⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6):3(C2xC8)288,460
(C3×C6)⋊4(C2×C8) = C2×C12.29D6φ: C2×C8/C4 → C22 ⊆ Aut C3×C648(C3xC6):4(C2xC8)288,464
(C3×C6)⋊5(C2×C8) = C22×C32⋊2C8φ: C2×C8/C22 → C4 ⊆ Aut C3×C696(C3xC6):5(C2xC8)288,939
(C3×C6)⋊6(C2×C8) = S3×C2×C24φ: C2×C8/C8 → C2 ⊆ Aut C3×C696(C3xC6):6(C2xC8)288,670
(C3×C6)⋊7(C2×C8) = C2×C8×C3⋊S3φ: C2×C8/C8 → C2 ⊆ Aut C3×C6144(C3xC6):7(C2xC8)288,756
(C3×C6)⋊8(C2×C8) = C2×C6×C3⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6):8(C2xC8)288,691
(C3×C6)⋊9(C2×C8) = C22×C32⋊4C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6):9(C2xC8)288,777

Non-split extensions G=N.Q with N=C3×C6 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C3×C6).1(C2×C8) = C4.3F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6488(C3xC6).1(C2xC8)288,861
(C3×C6).2(C2×C8) = C4.F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6488(C3xC6).2(C2xC8)288,862
(C3×C6).3(C2×C8) = C4×F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6368(C3xC6).3(C2xC8)288,863
(C3×C6).4(C2×C8) = C4⋊F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6368(C3xC6).4(C2xC8)288,864
(C3×C6).5(C2×C8) = C2×C2.F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C696(C3xC6).5(C2xC8)288,865
(C3×C6).6(C2×C8) = C22.F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6488-(C3xC6).6(C2xC8)288,866
(C3×C6).7(C2×C8) = C22⋊F9φ: C2×C8/C2 → C8 ⊆ Aut C3×C6248+(C3xC6).7(C2xC8)288,867
(C3×C6).8(C2×C8) = C3⋊S3⋊3C16φ: C2×C8/C4 → C4 ⊆ Aut C3×C6484(C3xC6).8(C2xC8)288,412
(C3×C6).9(C2×C8) = C32⋊3M5(2)φ: C2×C8/C4 → C4 ⊆ Aut C3×C6484(C3xC6).9(C2xC8)288,413
(C3×C6).10(C2×C8) = C62.6(C2×C4)φ: C2×C8/C4 → C4 ⊆ Aut C3×C648(C3xC6).10(C2xC8)288,426
(C3×C6).11(C2×C8) = C32⋊5(C4⋊C8)φ: C2×C8/C4 → C4 ⊆ Aut C3×C696(C3xC6).11(C2xC8)288,427
(C3×C6).12(C2×C8) = S3×C3⋊C16φ: C2×C8/C4 → C22 ⊆ Aut C3×C6964(C3xC6).12(C2xC8)288,189
(C3×C6).13(C2×C8) = C24.60D6φ: C2×C8/C4 → C22 ⊆ Aut C3×C6484(C3xC6).13(C2xC8)288,190
(C3×C6).14(C2×C8) = C24.61D6φ: C2×C8/C4 → C22 ⊆ Aut C3×C6964(C3xC6).14(C2xC8)288,191
(C3×C6).15(C2×C8) = C24.62D6φ: C2×C8/C4 → C22 ⊆ Aut C3×C6484(C3xC6).15(C2xC8)288,192
(C3×C6).16(C2×C8) = Dic3×C3⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6).16(C2xC8)288,200
(C3×C6).17(C2×C8) = C6.(S3×C8)φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6).17(C2xC8)288,201
(C3×C6).18(C2×C8) = C12.77D12φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6).18(C2xC8)288,204
(C3×C6).19(C2×C8) = C12.78D12φ: C2×C8/C4 → C22 ⊆ Aut C3×C648(C3xC6).19(C2xC8)288,205
(C3×C6).20(C2×C8) = C12.81D12φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6).20(C2xC8)288,219
(C3×C6).21(C2×C8) = C12.15Dic6φ: C2×C8/C4 → C22 ⊆ Aut C3×C696(C3xC6).21(C2xC8)288,220
(C3×C6).22(C2×C8) = C2×C32⋊2C16φ: C2×C8/C22 → C4 ⊆ Aut C3×C696(C3xC6).22(C2xC8)288,420
(C3×C6).23(C2×C8) = C62.4C8φ: C2×C8/C22 → C4 ⊆ Aut C3×C6484(C3xC6).23(C2xC8)288,421
(C3×C6).24(C2×C8) = C4×C32⋊2C8φ: C2×C8/C22 → C4 ⊆ Aut C3×C696(C3xC6).24(C2xC8)288,423
(C3×C6).25(C2×C8) = (C3×C12)⋊4C8φ: C2×C8/C22 → C4 ⊆ Aut C3×C696(C3xC6).25(C2xC8)288,424
(C3×C6).26(C2×C8) = C62⋊3C8φ: C2×C8/C22 → C4 ⊆ Aut C3×C648(C3xC6).26(C2xC8)288,435
(C3×C6).27(C2×C8) = S3×C48φ: C2×C8/C8 → C2 ⊆ Aut C3×C6962(C3xC6).27(C2xC8)288,231
(C3×C6).28(C2×C8) = C3×D6.C8φ: C2×C8/C8 → C2 ⊆ Aut C3×C6962(C3xC6).28(C2xC8)288,232
(C3×C6).29(C2×C8) = Dic3×C24φ: C2×C8/C8 → C2 ⊆ Aut C3×C696(C3xC6).29(C2xC8)288,247
(C3×C6).30(C2×C8) = C3×Dic3⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C3×C696(C3xC6).30(C2xC8)288,248
(C3×C6).31(C2×C8) = C3×D6⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C3×C696(C3xC6).31(C2xC8)288,254
(C3×C6).32(C2×C8) = C16×C3⋊S3φ: C2×C8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).32(C2xC8)288,272
(C3×C6).33(C2×C8) = C48⋊S3φ: C2×C8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).33(C2xC8)288,273
(C3×C6).34(C2×C8) = C8×C3⋊Dic3φ: C2×C8/C8 → C2 ⊆ Aut C3×C6288(C3xC6).34(C2xC8)288,288
(C3×C6).35(C2×C8) = C12.30Dic6φ: C2×C8/C8 → C2 ⊆ Aut C3×C6288(C3xC6).35(C2xC8)288,289
(C3×C6).36(C2×C8) = C12.60D12φ: C2×C8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).36(C2xC8)288,295
(C3×C6).37(C2×C8) = C12×C3⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).37(C2xC8)288,236
(C3×C6).38(C2×C8) = C3×C12⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).38(C2xC8)288,238
(C3×C6).39(C2×C8) = C6×C3⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C696(C3xC6).39(C2xC8)288,245
(C3×C6).40(C2×C8) = C3×C12.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6482(C3xC6).40(C2xC8)288,246
(C3×C6).41(C2×C8) = C3×C12.55D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C648(C3xC6).41(C2xC8)288,264
(C3×C6).42(C2×C8) = C4×C32⋊4C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).42(C2xC8)288,277
(C3×C6).43(C2×C8) = C12.57D12φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).43(C2xC8)288,279
(C3×C6).44(C2×C8) = C2×C24.S3φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6288(C3xC6).44(C2xC8)288,286
(C3×C6).45(C2×C8) = C24.94D6φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).45(C2xC8)288,287
(C3×C6).46(C2×C8) = C62⋊7C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C3×C6144(C3xC6).46(C2xC8)288,305
(C3×C6).47(C2×C8) = C32×C22⋊C8central extension (φ=1)144(C3xC6).47(C2xC8)288,316
(C3×C6).48(C2×C8) = C32×C4⋊C8central extension (φ=1)288(C3xC6).48(C2xC8)288,323
(C3×C6).49(C2×C8) = C32×M5(2)central extension (φ=1)144(C3xC6).49(C2xC8)288,328

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