Extensions 1→N→G→Q→1 with N=C72 and Q=C8

Direct product G=N×Q with N=C72 and Q=C8
dρLabelID
C7×C56392C7xC56392,16

Semidirect products G=N:Q with N=C72 and Q=C8
extensionφ:Q→Aut NdρLabelID
C72⋊C8 = C72⋊C8φ: C8/C1 → C8 ⊆ Aut C72288+C7^2:C8392,36
C72⋊2C8 = C72⋊2C8φ: C8/C2 → C4 ⊆ Aut C72564-C7^2:2C8392,17
C72⋊3C8 = C7×C7⋊C8φ: C8/C4 → C2 ⊆ Aut C72562C7^2:3C8392,14
C72⋊4C8 = C72⋊4C8φ: C8/C4 → C2 ⊆ Aut C72392C7^2:4C8392,15


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