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/C1Q8 ⊆ Aut C72288+C7^2:Q8392,38
C722Q8 = C722Q8φ: Q8/C2C22 ⊆ Aut C72564-C7^2:2Q8392,22
C723Q8 = C7×Dic14φ: Q8/C4C2 ⊆ Aut C72562C7^2:3Q8392,23
C724Q8 = C724Q8φ: Q8/C4C2 ⊆ Aut C72392C7^2:4Q8392,28


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