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Cn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=D4.2D4

Direct product G=NxQ with N=C5 and Q=D4.2D4
dρLabelID
C5xD4.2D4160C5xD4.2D4320,964

Semidirect products G=N:Q with N=C5 and Q=D4.2D4
extensionφ:Q→Aut NdρLabelID
C5:1(D4.2D4) = D20.D4φ: D4.2D4/D4:C4 → C2 ⊆ Aut C5160C5:1(D4.2D4)320,414
C5:2(D4.2D4) = D20.12D4φ: D4.2D4/Q8:C4 → C2 ⊆ Aut C5160C5:2(D4.2D4)320,446
C5:3(D4.2D4) = D20.19D4φ: D4.2D4/C4:C8 → C2 ⊆ Aut C5160C5:3(D4.2D4)320,471
C5:4(D4.2D4) = D4.1D20φ: D4.2D4/C4xD4 → C2 ⊆ Aut C5160C5:4(D4.2D4)320,643
C5:5(D4.2D4) = D20.23D4φ: D4.2D4/C4.4D4 → C2 ⊆ Aut C5160C5:5(D4.2D4)320,684
C5:6(D4.2D4) = (C2xD8).D5φ: D4.2D4/C2xD8 → C2 ⊆ Aut C5160C5:6(D4.2D4)320,780
C5:7(D4.2D4) = (C5xD4).D4φ: D4.2D4/C2xSD16 → C2 ⊆ Aut C5160C5:7(D4.2D4)320,792


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