Extensions 1→N→G→Q→1 with N=Q8 and Q=C18

Direct product G=N×Q with N=Q8 and Q=C18
dρLabelID
Q8×C18144Q8xC18144,49

Semidirect products G=N:Q with N=Q8 and Q=C18
extensionφ:Q→Out NdρLabelID
Q8⋊C18 = C2×Q8⋊C9φ: C18/C6C3 ⊆ Out Q8144Q8:C18144,35
Q82C18 = C9×SD16φ: C18/C9C2 ⊆ Out Q8722Q8:2C18144,26
Q83C18 = C9×C4○D4φ: trivial image722Q8:3C18144,50

Non-split extensions G=N.Q with N=Q8 and Q=C18
extensionφ:Q→Out NdρLabelID
Q8.C18 = Q8.C18φ: C18/C6C3 ⊆ Out Q8722Q8.C18144,36
Q8.2C18 = C9×Q16φ: C18/C9C2 ⊆ Out Q81442Q8.2C18144,27

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