Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C4○D8

Direct product G=N×Q with N=C7 and Q=C2×C4○D8
dρLabelID
C14×C4○D8224C14xC4oD8448,1355

Semidirect products G=N:Q with N=C7 and Q=C2×C4○D8
extensionφ:Q→Aut NdρLabelID
C71(C2×C4○D8) = C2×D567C2φ: C2×C4○D8/C22×C8C2 ⊆ Aut C7224C7:1(C2xC4oD8)448,1194
C72(C2×C4○D8) = C2×D83D7φ: C2×C4○D8/C2×D8C2 ⊆ Aut C7224C7:2(C2xC4oD8)448,1209
C73(C2×C4○D8) = C2×SD163D7φ: C2×C4○D8/C2×SD16C2 ⊆ Aut C7224C7:3(C2xC4oD8)448,1214
C74(C2×C4○D8) = C2×Q8.D14φ: C2×C4○D8/C2×Q16C2 ⊆ Aut C7224C7:4(C2xC4oD8)448,1218
C75(C2×C4○D8) = D7×C4○D8φ: C2×C4○D8/C4○D8C2 ⊆ Aut C71124C7:5(C2xC4oD8)448,1220
C76(C2×C4○D8) = C2×D4.8D14φ: C2×C4○D8/C2×C4○D4C2 ⊆ Aut C7224C7:6(C2xC4oD8)448,1274


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