Extensions 1→N→G→Q→1 with N=C72 and Q=Q8

Direct product G=N×Q with N=C72 and Q=Q8
dρLabelID
Q8×C72392Q8xC7^2392,35

Semidirect products G=N:Q with N=C72 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C72⋊Q8 = C72⋊Q8φ: Q8/C1 → Q8 ⊆ Aut C72288+C7^2:Q8392,38
C72⋊2Q8 = C72⋊2Q8φ: Q8/C2 → C22 ⊆ Aut C72564-C7^2:2Q8392,22
C72⋊3Q8 = C7×Dic14φ: Q8/C4 → C2 ⊆ Aut C72562C7^2:3Q8392,23
C72⋊4Q8 = C72⋊4Q8φ: Q8/C4 → C2 ⊆ Aut C72392C7^2:4Q8392,28


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