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Extensions 1→N→G→Q→1 with N=C5 and Q=D8:S3

Direct product G=NxQ with N=C5 and Q=D8:S3
dρLabelID
C5xD8:S31204C5xD8:S3480,790

Semidirect products G=N:Q with N=C5 and Q=D8:S3
extensionφ:Q→Aut NdρLabelID
C5:1(D8:S3) = D40:S3φ: D8:S3/C8:S3 → C2 ⊆ Aut C51204C5:1(D8:S3)480,330
C5:2(D8:S3) = C40:8D6φ: D8:S3/C24:C2 → C2 ⊆ Aut C51204C5:2(D8:S3)480,334
C5:3(D8:S3) = D30.8D4φ: D8:S3/D4:S3 → C2 ⊆ Aut C51208-C5:3(D8:S3)480,558
C5:4(D8:S3) = Dic6:D10φ: D8:S3/D4.S3 → C2 ⊆ Aut C51208+C5:4(D8:S3)480,574
C5:5(D8:S3) = D8:D15φ: D8:S3/C3xD8 → C2 ⊆ Aut C51204C5:5(D8:S3)480,876
C5:6(D8:S3) = D20:10D6φ: D8:S3/S3xD4 → C2 ⊆ Aut C51208-C5:6(D8:S3)480,570
C5:7(D8:S3) = D60.C22φ: D8:S3/D4:2S3 → C2 ⊆ Aut C51208+C5:7(D8:S3)480,556


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