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

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

Semidirect products G=N:Q with N=C2×C8 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1C12 = C3×C4.9C42φ: C12/C3 → C4 ⊆ Aut C2×C8484(C2xC8):1C12192,143
(C2×C8)⋊2C12 = C3×M4(2)⋊4C4φ: C12/C3 → C4 ⊆ Aut C2×C8484(C2xC8):2C12192,150
(C2×C8)⋊3C12 = C3×C22.7C42φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8):3C12192,142
(C2×C8)⋊4C12 = C3×C22.4Q16φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8):4C12192,146
(C2×C8)⋊5C12 = C6×C2.D8φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8):5C12192,859
(C2×C8)⋊6C12 = C3×C23.25D4φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8):6C12192,860
(C2×C8)⋊7C12 = C6×C4.Q8φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8):7C12192,858
(C2×C8)⋊8C12 = C6×C8⋊C4φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8):8C12192,836
(C2×C8)⋊9C12 = C3×C8○2M4(2)φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8):9C12192,838

Non-split extensions G=N.Q with N=C2×C8 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C2×C8).1C12 = C3×C4.10C42φ: C12/C3 → C4 ⊆ Aut C2×C8484(C2xC8).1C12192,144
(C2×C8).2C12 = C3×C16⋊C4φ: C12/C3 → C4 ⊆ Aut C2×C8484(C2xC8).2C12192,153
(C2×C8).3C12 = C3×C23.C8φ: C12/C3 → C4 ⊆ Aut C2×C8484(C2xC8).3C12192,155
(C2×C8).4C12 = C3×C8⋊C8φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8).4C12192,128
(C2×C8).5C12 = C3×C4.C42φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8).5C12192,147
(C2×C8).6C12 = C3×C22⋊C16φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8).6C12192,154
(C2×C8).7C12 = C3×C4⋊C16φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8).7C12192,169
(C2×C8).8C12 = C3×C8⋊1C8φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8).8C12192,141
(C2×C8).9C12 = C3×C8.C8φ: C12/C6 → C2 ⊆ Aut C2×C8482(C2xC8).9C12192,170
(C2×C8).10C12 = C3×C8⋊2C8φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8).10C12192,140
(C2×C8).11C12 = C6×C8.C4φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8).11C12192,862
(C2×C8).12C12 = C3×C16⋊5C4φ: C12/C6 → C2 ⊆ Aut C2×C8192(C2xC8).12C12192,152
(C2×C8).13C12 = C3×M6(2)φ: C12/C6 → C2 ⊆ Aut C2×C8962(C2xC8).13C12192,176
(C2×C8).14C12 = C6×M5(2)φ: C12/C6 → C2 ⊆ Aut C2×C896(C2xC8).14C12192,936

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