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Cn
Dn
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C3 and Q=C23.7Q8

Direct product G=NxQ with N=C3 and Q=C23.7Q8
dρLabelID
C3xC23.7Q896C3xC2^3.7Q8192,813

Semidirect products G=N:Q with N=C3 and Q=C23.7Q8
extensionφ:Q→Aut NdρLabelID
C3:1(C23.7Q8) = D6:(C4:C4)φ: C23.7Q8/C2.C42 → C2 ⊆ Aut C396C3:1(C2^3.7Q8)192,226
C3:2(C23.7Q8) = C24.55D6φ: C23.7Q8/C2xC22:C4 → C2 ⊆ Aut C396C3:2(C2^3.7Q8)192,501
C3:3(C23.7Q8) = C4:(D6:C4)φ: C23.7Q8/C2xC4:C4 → C2 ⊆ Aut C396C3:3(C2^3.7Q8)192,546
C3:4(C23.7Q8) = C24.75D6φ: C23.7Q8/C23xC4 → C2 ⊆ Aut C396C3:4(C2^3.7Q8)192,771


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