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

Direct product G=N×Q with N=C2×C6 and Q=C2×C8
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C2×C6 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C2×C8) = S3×C22⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C648(C2xC6):1(C2xC8)192,283
(C2×C6)⋊2(C2×C8) = C3⋊D4⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C696(C2xC6):2(C2xC8)192,284
(C2×C6)⋊3(C2×C8) = D4×C3⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C696(C2xC6):3(C2xC8)192,569
(C2×C6)⋊4(C2×C8) = D4×C24φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6):4(C2xC8)192,867
(C2×C6)⋊5(C2×C8) = C8×C3⋊D4φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6):5(C2xC8)192,668
(C2×C6)⋊6(C2×C8) = S3×C22×C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6):6(C2xC8)192,1295
(C2×C6)⋊7(C2×C8) = C6×C22⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6):7(C2xC8)192,839
(C2×C6)⋊8(C2×C8) = C2×C12.55D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6):8(C2xC8)192,765
(C2×C6)⋊9(C2×C8) = C23×C3⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6):9(C2xC8)192,1339

Non-split extensions G=N.Q with N=C2×C6 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C2×C8) = (C22×S3)⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C648(C2xC6).1(C2xC8)192,27
(C2×C6).2(C2×C8) = (C2×Dic3)⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C2×C696(C2xC6).2(C2xC8)192,28
(C2×C6).3(C2×C8) = C8.25D12φ: C2×C8/C4 → C22 ⊆ Aut C2×C6484(C2xC6).3(C2xC8)192,73
(C2×C6).4(C2×C8) = Dic3.5M4(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C696(C2xC6).4(C2xC8)192,277
(C2×C6).5(C2×C8) = S3×M5(2)φ: C2×C8/C4 → C22 ⊆ Aut C2×C6484(C2xC6).5(C2xC8)192,465
(C2×C6).6(C2×C8) = C16.12D6φ: C2×C8/C4 → C22 ⊆ Aut C2×C6964(C2xC6).6(C2xC8)192,466
(C2×C6).7(C2×C8) = C24.78C23φ: C2×C8/C4 → C22 ⊆ Aut C2×C6964(C2xC6).7(C2xC8)192,699
(C2×C6).8(C2×C8) = C3×D4○C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C6962(C2xC6).8(C2xC8)192,937
(C2×C6).9(C2×C8) = Dic3×C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).9(C2xC8)192,59
(C2×C6).10(C2×C8) = Dic3⋊C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).10(C2xC8)192,60
(C2×C6).11(C2×C8) = C48⋊10C4φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).11(C2xC8)192,61
(C2×C6).12(C2×C8) = D6⋊C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6).12(C2xC8)192,66
(C2×C6).13(C2×C8) = (C2×C24)⋊5C4φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).13(C2xC8)192,109
(C2×C6).14(C2×C8) = S3×C2×C16φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6).14(C2xC8)192,458
(C2×C6).15(C2×C8) = C2×D6.C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6).15(C2xC8)192,459
(C2×C6).16(C2×C8) = D12.4C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C6962(C2xC6).16(C2xC8)192,460
(C2×C6).17(C2×C8) = Dic3×C2×C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).17(C2xC8)192,657
(C2×C6).18(C2×C8) = C2×Dic3⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C6192(C2xC6).18(C2xC8)192,658
(C2×C6).19(C2×C8) = C2×D6⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C2×C696(C2xC6).19(C2xC8)192,667
(C2×C6).20(C2×C8) = C3×C23⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).20(C2xC8)192,129
(C2×C6).21(C2×C8) = C3×C22.M4(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).21(C2xC8)192,130
(C2×C6).22(C2×C8) = C3×C23.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).22(C2xC8)192,155
(C2×C6).23(C2×C8) = C3×C42.12C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).23(C2xC8)192,864
(C2×C6).24(C2×C8) = C6×M5(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).24(C2xC8)192,936
(C2×C6).25(C2×C8) = C4×C3⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).25(C2xC8)192,19
(C2×C6).26(C2×C8) = C24.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).26(C2xC8)192,20
(C2×C6).27(C2×C8) = C12⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).27(C2xC8)192,21
(C2×C6).28(C2×C8) = (C2×C12)⋊3C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).28(C2xC8)192,83
(C2×C6).29(C2×C8) = C24.3Dic3φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).29(C2xC8)192,84
(C2×C6).30(C2×C8) = (C2×C12)⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).30(C2xC8)192,87
(C2×C6).31(C2×C8) = C24.98D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).31(C2xC8)192,108
(C2×C6).32(C2×C8) = C24.D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).32(C2xC8)192,112
(C2×C6).33(C2×C8) = C2×C4×C3⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).33(C2xC8)192,479
(C2×C6).34(C2×C8) = C2×C12⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).34(C2xC8)192,482
(C2×C6).35(C2×C8) = C42.285D6φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).35(C2xC8)192,484
(C2×C6).36(C2×C8) = C22×C3⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).36(C2xC8)192,655
(C2×C6).37(C2×C8) = C2×C12.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).37(C2xC8)192,656
(C2×C6).38(C2×C8) = C3×C22.7C42central extension (φ=1)192(C2xC6).38(C2xC8)192,142
(C2×C6).39(C2×C8) = C3×C16⋊5C4central extension (φ=1)192(C2xC6).39(C2xC8)192,152
(C2×C6).40(C2×C8) = C3×C22⋊C16central extension (φ=1)96(C2xC6).40(C2xC8)192,154
(C2×C6).41(C2×C8) = C3×C4⋊C16central extension (φ=1)192(C2xC6).41(C2xC8)192,169
(C2×C6).42(C2×C8) = C6×C4⋊C8central extension (φ=1)192(C2xC6).42(C2xC8)192,855

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