Extensions 1→N→G→Q→1 with N=C7 and Q=C22×D8

Direct product G=N×Q with N=C7 and Q=C22×D8
dρLabelID
D8×C2×C14224D8xC2xC14448,1352

Semidirect products G=N:Q with N=C7 and Q=C22×D8
extensionφ:Q→Aut NdρLabelID
C71(C22×D8) = C22×D56φ: C22×D8/C22×C8C2 ⊆ Aut C7224C7:1(C2^2xD8)448,1193
C72(C22×D8) = C2×D7×D8φ: C22×D8/C2×D8C2 ⊆ Aut C7112C7:2(C2^2xD8)448,1207
C73(C22×D8) = C22×D4⋊D7φ: C22×D8/C22×D4C2 ⊆ Aut C7224C7:3(C2^2xD8)448,1245


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