Extensions 1→N→G→Q→1 with N=C7 and Q=C8xD4

Direct product G=NxQ with N=C7 and Q=C8xD4
dρLabelID
D4xC56224D4xC56448,842

Semidirect products G=N:Q with N=C7 and Q=C8xD4
extensionφ:Q→Aut NdρLabelID
C7:1(C8xD4) = C8xD28φ: C8xD4/C4xC8C2 ⊆ Aut C7224C7:1(C8xD4)448,220
C7:2(C8xD4) = C7:D4:C8φ: C8xD4/C22:C8C2 ⊆ Aut C7224C7:2(C8xD4)448,259
C7:3(C8xD4) = D28:C8φ: C8xD4/C4:C8C2 ⊆ Aut C7224C7:3(C8xD4)448,368
C7:4(C8xD4) = D4xC7:C8φ: C8xD4/C4xD4C2 ⊆ Aut C7224C7:4(C8xD4)448,544
C7:5(C8xD4) = C8xC7:D4φ: C8xD4/C22xC8C2 ⊆ Aut C7224C7:5(C8xD4)448,643


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