Extensions 1→N→G→Q→1 with N=C5 and Q=C2×D4⋊S3

Direct product G=N×Q with N=C5 and Q=C2×D4⋊S3
dρLabelID
C10×D4⋊S3240C10xD4:S3480,810

Semidirect products G=N:Q with N=C5 and Q=C2×D4⋊S3
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×D4⋊S3) = C2×C3⋊D40φ: C2×D4⋊S3/C2×C3⋊C8 → C2 ⊆ Aut C5240C5:1(C2xD4:S3)480,376
C5⋊2(C2×D4⋊S3) = D5×D4⋊S3φ: C2×D4⋊S3/D4⋊S3 → C2 ⊆ Aut C51208+C5:2(C2xD4:S3)480,553
C5⋊3(C2×D4⋊S3) = C2×C15⋊D8φ: C2×D4⋊S3/C2×D12 → C2 ⊆ Aut C5240C5:3(C2xD4:S3)480,372
C5⋊4(C2×D4⋊S3) = C2×D4⋊D15φ: C2×D4⋊S3/C6×D4 → C2 ⊆ Aut C5240C5:4(C2xD4:S3)480,896


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