Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C18

Direct product G=N×Q with N=C2×C4 and Q=C18
dρLabelID
C22×C36144C2^2xC36144,47

Semidirect products G=N:Q with N=C2×C4 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C18 = C9×C22⋊C4φ: C18/C9C2 ⊆ Aut C2×C472(C2xC4):1C18144,21
(C2×C4)⋊2C18 = D4×C18φ: C18/C9C2 ⊆ Aut C2×C472(C2xC4):2C18144,48
(C2×C4)⋊3C18 = C9×C4○D4φ: C18/C9C2 ⊆ Aut C2×C4722(C2xC4):3C18144,50

Non-split extensions G=N.Q with N=C2×C4 and Q=C18
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C18 = C9×C4⋊C4φ: C18/C9C2 ⊆ Aut C2×C4144(C2xC4).1C18144,22
(C2×C4).2C18 = C9×M4(2)φ: C18/C9C2 ⊆ Aut C2×C4722(C2xC4).2C18144,24
(C2×C4).3C18 = Q8×C18φ: C18/C9C2 ⊆ Aut C2×C4144(C2xC4).3C18144,49

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