Extensions 1→N→G→Q→1 with N=C7 and Q=C2×C8○D4

Direct product G=N×Q with N=C7 and Q=C2×C8○D4
dρLabelID
C14×C8○D4224C14xC8oD4448,1350

Semidirect products G=N:Q with N=C7 and Q=C2×C8○D4
extensionφ:Q→Aut NdρLabelID
C71(C2×C8○D4) = C2×D28.2C4φ: C2×C8○D4/C22×C8C2 ⊆ Aut C7224C7:1(C2xC8oD4)448,1191
C72(C2×C8○D4) = C2×D28.C4φ: C2×C8○D4/C2×M4(2)C2 ⊆ Aut C7224C7:2(C2xC8oD4)448,1197
C73(C2×C8○D4) = D7×C8○D4φ: C2×C8○D4/C8○D4C2 ⊆ Aut C71124C7:3(C2xC8oD4)448,1202
C74(C2×C8○D4) = C2×Q8.Dic7φ: C2×C8○D4/C2×C4○D4C2 ⊆ Aut C7224C7:4(C2xC8oD4)448,1271


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