Extensions 1→N→G→Q→1 with N=C7 and Q=C2×M5(2)

Direct product G=N×Q with N=C7 and Q=C2×M5(2)
dρLabelID
C14×M5(2)224C14xM5(2)448,911

Semidirect products G=N:Q with N=C7 and Q=C2×M5(2)
extensionφ:Q→Aut NdρLabelID
C71(C2×M5(2)) = C2×C16⋊D7φ: C2×M5(2)/C2×C16C2 ⊆ Aut C7224C7:1(C2xM5(2))448,434
C72(C2×M5(2)) = D7×M5(2)φ: C2×M5(2)/M5(2)C2 ⊆ Aut C71124C7:2(C2xM5(2))448,440
C73(C2×M5(2)) = C2×C28.C8φ: C2×M5(2)/C22×C8C2 ⊆ Aut C7224C7:3(C2xM5(2))448,631


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