Extensions 1→N→G→Q→1 with N=C5 and Q=C23.16D6

Direct product G=NxQ with N=C5 and Q=C23.16D6
dρLabelID
C5xC23.16D6240C5xC2^3.16D6480,756

Semidirect products G=N:Q with N=C5 and Q=C23.16D6
extensionφ:Q→Aut NdρLabelID
C5:(C23.16D6) = C22:F5.S3φ: C23.16D6/C2xDic3C4 ⊆ Aut C51208-C5:(C2^3.16D6)480,999
C5:2(C23.16D6) = (D5xDic3):C4φ: C23.16D6/C4xDic3C2 ⊆ Aut C5240C5:2(C2^3.16D6)480,469
C5:3(C23.16D6) = D10.19(C4xS3)φ: C23.16D6/Dic3:C4C2 ⊆ Aut C5240C5:3(C2^3.16D6)480,470
C5:4(C23.16D6) = C23.48(S3xD5)φ: C23.16D6/C6.D4C2 ⊆ Aut C5240C5:4(C2^3.16D6)480,608
C5:5(C23.16D6) = C23.15D30φ: C23.16D6/C3xC22:C4C2 ⊆ Aut C5240C5:5(C2^3.16D6)480,842
C5:6(C23.16D6) = C23.26(S3xD5)φ: C23.16D6/C22xDic3C2 ⊆ Aut C5240C5:6(C2^3.16D6)480,605


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