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Extensions 1→N→G→Q→1 with N=C7 and Q=C4xD8

Direct product G=NxQ with N=C7 and Q=C4xD8
dρLabelID
D8xC28224D8xC28448,845

Semidirect products G=N:Q with N=C7 and Q=C4xD8
extensionφ:Q→Aut NdρLabelID
C7:1(C4xD8) = C4xD56φ: C4xD8/C4xC8 → C2 ⊆ Aut C7224C7:1(C4xD8)448,226
C7:2(C4xD8) = Dic7:4D8φ: C4xD8/D4:C4 → C2 ⊆ Aut C7224C7:2(C4xD8)448,290
C7:3(C4xD8) = Dic7:5D8φ: C4xD8/C2.D8 → C2 ⊆ Aut C7224C7:3(C4xD8)448,406
C7:4(C4xD8) = C4xD4:D7φ: C4xD8/C4xD4 → C2 ⊆ Aut C7224C7:4(C4xD8)448,547
C7:5(C4xD8) = D8xDic7φ: C4xD8/C2xD8 → C2 ⊆ Aut C7224C7:5(C4xD8)448,683


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