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Cn
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C7 and Q=D4.8D4

Direct product G=NxQ with N=C7 and Q=D4.8D4
dρLabelID
C7xD4.8D41124C7xD4.8D4448,862

Semidirect products G=N:Q with N=C7 and Q=D4.8D4
extensionφ:Q→Aut NdρLabelID
C7:1(D4.8D4) = D28.5D4φ: D4.8D4/C4.10D4 → C2 ⊆ Aut C71128+C7:1(D4.8D4)448,287
C7:2(D4.8D4) = D4.10D28φ: D4.8D4/C4wrC2 → C2 ⊆ Aut C71124C7:2(D4.8D4)448,361
C7:3(D4.8D4) = D28.14D4φ: D4.8D4/C4.4D4 → C2 ⊆ Aut C71124C7:3(D4.8D4)448,596
C7:4(D4.8D4) = D28.38D4φ: D4.8D4/C8:C22 → C2 ⊆ Aut C71128-C7:4(D4.8D4)448,735
C7:5(D4.8D4) = 2- 1+4:D7φ: D4.8D4/2- 1+4 → C2 ⊆ Aut C71128+C7:5(D4.8D4)448,779


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