# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C3⋊C8

Direct product G=N×Q with N=C2×C4 and Q=C3⋊C8
dρLabelID
C2×C4×C3⋊C8192C2xC4xC3:C8192,479

Semidirect products G=N:Q with N=C2×C4 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊(C3⋊C8) = (C2×C12)⋊C8φ: C3⋊C8/C6C4 ⊆ Aut C2×C496(C2xC4):(C3:C8)192,87
(C2×C4)⋊2(C3⋊C8) = (C2×C12)⋊3C8φ: C3⋊C8/C12C2 ⊆ Aut C2×C4192(C2xC4):2(C3:C8)192,83
(C2×C4)⋊3(C3⋊C8) = C2×C12⋊C8φ: C3⋊C8/C12C2 ⊆ Aut C2×C4192(C2xC4):3(C3:C8)192,482
(C2×C4)⋊4(C3⋊C8) = C42.285D6φ: C3⋊C8/C12C2 ⊆ Aut C2×C496(C2xC4):4(C3:C8)192,484

Non-split extensions G=N.Q with N=C2×C4 and Q=C3⋊C8
extensionφ:Q→Aut NdρLabelID
(C2×C4).(C3⋊C8) = C24.D4φ: C3⋊C8/C6C4 ⊆ Aut C2×C4484(C2xC4).(C3:C8)192,112
(C2×C4).2(C3⋊C8) = C24.C8φ: C3⋊C8/C12C2 ⊆ Aut C2×C4192(C2xC4).2(C3:C8)192,20
(C2×C4).3(C3⋊C8) = C12⋊C16φ: C3⋊C8/C12C2 ⊆ Aut C2×C4192(C2xC4).3(C3:C8)192,21
(C2×C4).4(C3⋊C8) = C24.98D4φ: C3⋊C8/C12C2 ⊆ Aut C2×C496(C2xC4).4(C3:C8)192,108
(C2×C4).5(C3⋊C8) = C3⋊M6(2)φ: C3⋊C8/C12C2 ⊆ Aut C2×C4962(C2xC4).5(C3:C8)192,58
(C2×C4).6(C3⋊C8) = C2×C12.C8φ: C3⋊C8/C12C2 ⊆ Aut C2×C496(C2xC4).6(C3:C8)192,656
(C2×C4).7(C3⋊C8) = C4×C3⋊C16central extension (φ=1)192(C2xC4).7(C3:C8)192,19
(C2×C4).8(C3⋊C8) = C2×C3⋊C32central extension (φ=1)192(C2xC4).8(C3:C8)192,57
(C2×C4).9(C3⋊C8) = C22×C3⋊C16central extension (φ=1)192(C2xC4).9(C3:C8)192,655

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