Extensions 1→N→G→Q→1 with N=C8 and Q=C16

Direct product G=N×Q with N=C8 and Q=C16
dρLabelID
C8×C16128C8xC16128,42

Semidirect products G=N:Q with N=C8 and Q=C16
extensionφ:Q→Aut NdρLabelID
C81C16 = C8.36D8φ: C16/C8C2 ⊆ Aut C8128C8:1C16128,102
C82C16 = C82C16φ: C16/C8C2 ⊆ Aut C8128C8:2C16128,99
C83C16 = C8⋊C16φ: C16/C8C2 ⊆ Aut C8128C8:3C16128,44

Non-split extensions G=N.Q with N=C8 and Q=C16
extensionφ:Q→Aut NdρLabelID
C8.1C16 = C8.C16φ: C16/C8C2 ⊆ Aut C8322C8.1C16128,154
C8.2C16 = C325C4φ: C16/C8C2 ⊆ Aut C8128C8.2C16128,129
C8.3C16 = M7(2)φ: C16/C8C2 ⊆ Aut C8642C8.3C16128,160

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