Extensions 1→N→G→Q→1 with N=C7 and Q=Q8oM4(2)

Direct product G=NxQ with N=C7 and Q=Q8oM4(2)
dρLabelID
C7xQ8oM4(2)1124C7xQ8oM4(2)448,1351

Semidirect products G=N:Q with N=C7 and Q=Q8oM4(2)
extensionφ:Q→Aut NdρLabelID
C7:1(Q8oM4(2)) = C28.70C24φ: Q8oM4(2)/C2xM4(2)C2 ⊆ Aut C71124C7:1(Q8oM4(2))448,1198
C7:2(Q8oM4(2)) = C56.49C23φ: Q8oM4(2)/C8oD4C2 ⊆ Aut C71124C7:2(Q8oM4(2))448,1203
C7:3(Q8oM4(2)) = C28.76C24φ: Q8oM4(2)/C2xC4oD4C2 ⊆ Aut C71124C7:3(Q8oM4(2))448,1272


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