Extensions 1→N→G→Q→1 with N=C3 and Q=D10:Q8

Direct product G=NxQ with N=C3 and Q=D10:Q8
dρLabelID
C3xD10:Q8240C3xD10:Q8480,689

Semidirect products G=N:Q with N=C3 and Q=D10:Q8
extensionφ:Q→Aut NdρLabelID
C3:1(D10:Q8) = D30:8Q8φ: D10:Q8/C10.D4C2 ⊆ Aut C3240C3:1(D10:Q8)480,453
C3:2(D10:Q8) = D30:2Q8φ: D10:Q8/C10.D4C2 ⊆ Aut C3240C3:2(D10:Q8)480,495
C3:3(D10:Q8) = Dic15.D4φ: D10:Q8/D10:C4C2 ⊆ Aut C3240C3:3(D10:Q8)480,506
C3:4(D10:Q8) = D10:4Dic6φ: D10:Q8/D10:C4C2 ⊆ Aut C3240C3:4(D10:Q8)480,507
C3:5(D10:Q8) = D30:5Q8φ: D10:Q8/C5xC4:C4C2 ⊆ Aut C3240C3:5(D10:Q8)480,861
C3:6(D10:Q8) = D30:Q8φ: D10:Q8/C2xDic10C2 ⊆ Aut C3240C3:6(D10:Q8)480,487
C3:7(D10:Q8) = D10:Dic6φ: D10:Q8/C2xC4xD5C2 ⊆ Aut C3240C3:7(D10:Q8)480,425


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