Extensions 1→N→G→Q→1 with N=C8 and Q=C18

Direct product G=N×Q with N=C8 and Q=C18
dρLabelID
C2×C72144C2xC72144,23

Semidirect products G=N:Q with N=C8 and Q=C18
extensionφ:Q→Aut NdρLabelID
C8⋊1C18 = C9×D8φ: C18/C9 → C2 ⊆ Aut C8722C8:1C18144,25
C8⋊2C18 = C9×SD16φ: C18/C9 → C2 ⊆ Aut C8722C8:2C18144,26
C8⋊3C18 = C9×M4(2)φ: C18/C9 → C2 ⊆ Aut C8722C8:3C18144,24

Non-split extensions G=N.Q with N=C8 and Q=C18
extensionφ:Q→Aut NdρLabelID
C8.C18 = C9×Q16φ: C18/C9 → C2 ⊆ Aut C81442C8.C18144,27

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