Extensions 1→N→G→Q→1 with N=C234 and Q=C2

Direct product G=N×Q with N=C234 and Q=C2
dρLabelID
C2×C234468C2xC234468,18

Semidirect products G=N:Q with N=C234 and Q=C2
extensionφ:Q→Aut NdρLabelID
C2341C2 = D234φ: C2/C1C2 ⊆ Aut C2342342+C234:1C2468,17
C2342C2 = C18×D13φ: C2/C1C2 ⊆ Aut C2342342C234:2C2468,15
C2343C2 = D9×C26φ: C2/C1C2 ⊆ Aut C2342342C234:3C2468,16

Non-split extensions G=N.Q with N=C234 and Q=C2
extensionφ:Q→Aut NdρLabelID
C234.1C2 = Dic117φ: C2/C1C2 ⊆ Aut C2344682-C234.1C2468,5
C234.2C2 = C9×Dic13φ: C2/C1C2 ⊆ Aut C2344682C234.2C2468,4
C234.3C2 = C13×Dic9φ: C2/C1C2 ⊆ Aut C2344682C234.3C2468,3

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