Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C2.D8

Direct product G=N×Q with N=C7 and Q=C2×C2.D8
dρLabelID
C14×C2.D8448C14xC2.D8448,834

Semidirect products G=N:Q with N=C7 and Q=C2×C2.D8
extensionφ:Q→Aut NdρLabelID
C71(C2×C2.D8) = D7×C2.D8φ: C2×C2.D8/C2.D8C2 ⊆ Aut C7224C7:1(C2xC2.D8)448,413
C72(C2×C2.D8) = C2×C28.Q8φ: C2×C2.D8/C2×C4⋊C4C2 ⊆ Aut C7448C7:2(C2xC2.D8)448,496
C73(C2×C2.D8) = C2×C561C4φ: C2×C2.D8/C22×C8C2 ⊆ Aut C7448C7:3(C2xC2.D8)448,639


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