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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C8

Direct product G=N×Q with N=C2×C12 and Q=C8
dρLabelID
C2×C4×C24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C2×C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C8 = (C2×C12)⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C1296(C2xC12):1C8192,87
(C2×C12)⋊2C8 = C3×C22.M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C1296(C2xC12):2C8192,130
(C2×C12)⋊3C8 = (C2×C12)⋊3C8φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):3C8192,83
(C2×C12)⋊4C8 = C3×C22.7C42φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):4C8192,142
(C2×C12)⋊5C8 = C2×C12⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):5C8192,482
(C2×C12)⋊6C8 = C42.285D6φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12):6C8192,484
(C2×C12)⋊7C8 = C2×C4×C3⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):7C8192,479
(C2×C12)⋊8C8 = C6×C4⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12):8C8192,855
(C2×C12)⋊9C8 = C3×C42.12C4φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12):9C8192,864

Non-split extensions G=N.Q with N=C2×C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C8 = C24.D4φ: C8/C2 → C4 ⊆ Aut C2×C12484(C2xC12).1C8192,112
(C2×C12).2C8 = C3×C23.C8φ: C8/C2 → C4 ⊆ Aut C2×C12484(C2xC12).2C8192,155
(C2×C12).3C8 = C24.C8φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).3C8192,20
(C2×C12).4C8 = C12⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).4C8192,21
(C2×C12).5C8 = C24.98D4φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).5C8192,108
(C2×C12).6C8 = C3×C16⋊5C4φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).6C8192,152
(C2×C12).7C8 = C3×C22⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).7C8192,154
(C2×C12).8C8 = C2×C12.C8φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).8C8192,656
(C2×C12).9C8 = C3⋊M6(2)φ: C8/C4 → C2 ⊆ Aut C2×C12962(C2xC12).9C8192,58
(C2×C12).10C8 = C4×C3⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).10C8192,19
(C2×C12).11C8 = C2×C3⋊C32φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).11C8192,57
(C2×C12).12C8 = C22×C3⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).12C8192,655
(C2×C12).13C8 = C3×C4⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C12192(C2xC12).13C8192,169
(C2×C12).14C8 = C3×M6(2)φ: C8/C4 → C2 ⊆ Aut C2×C12962(C2xC12).14C8192,176
(C2×C12).15C8 = C6×M5(2)φ: C8/C4 → C2 ⊆ Aut C2×C1296(C2xC12).15C8192,936

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