Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C4⋊C4

Direct product G=N×Q with N=C5 and Q=S3×C4⋊C4
dρLabelID
C5×S3×C4⋊C4240C5xS3xC4:C4480,770

Semidirect products G=N:Q with N=C5 and Q=S3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊(S3×C4⋊C4) = S3×C4⋊F5φ: S3×C4⋊C4/C4×S3C4 ⊆ Aut C5608C5:(S3xC4:C4)480,996
C52(S3×C4⋊C4) = D30.Q8φ: S3×C4⋊C4/Dic3⋊C4C2 ⊆ Aut C5240C5:2(S3xC4:C4)480,480
C53(S3×C4⋊C4) = D30.2Q8φ: S3×C4⋊C4/C4⋊Dic3C2 ⊆ Aut C5240C5:3(S3xC4:C4)480,513
C54(S3×C4⋊C4) = C4⋊C4×D15φ: S3×C4⋊C4/C3×C4⋊C4C2 ⊆ Aut C5240C5:4(S3xC4:C4)480,856
C55(S3×C4⋊C4) = S3×C10.D4φ: S3×C4⋊C4/S3×C2×C4C2 ⊆ Aut C5240C5:5(S3xC4:C4)480,475
C56(S3×C4⋊C4) = S3×C4⋊Dic5φ: S3×C4⋊C4/S3×C2×C4C2 ⊆ Aut C5240C5:6(S3xC4:C4)480,502


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