Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C2

Direct product G=N×Q with N=C2×C4 and Q=C2
dρLabelID
C22×C416C2^2xC416,10

Semidirect products G=N:Q with N=C2×C4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C2 = C22⋊C4φ: C2/C1C2 ⊆ Aut C2×C48(C2xC4):1C216,3
(C2×C4)⋊2C2 = C2×D4φ: C2/C1C2 ⊆ Aut C2×C48(C2xC4):2C216,11
(C2×C4)⋊3C2 = C4○D4φ: C2/C1C2 ⊆ Aut C2×C482(C2xC4):3C216,13

Non-split extensions G=N.Q with N=C2×C4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C2 = C4⋊C4φ: C2/C1C2 ⊆ Aut C2×C416(C2xC4).1C216,4
(C2×C4).2C2 = M4(2)φ: C2/C1C2 ⊆ Aut C2×C482(C2xC4).2C216,6
(C2×C4).3C2 = C2×Q8φ: C2/C1C2 ⊆ Aut C2×C416(C2xC4).3C216,12

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