Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C8⋊S3

Direct product G=N×Q with N=C5 and Q=C2×C8⋊S3
dρLabelID
C10×C8⋊S3240C10xC8:S3480,779

Semidirect products G=N:Q with N=C5 and Q=C2×C8⋊S3
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C8⋊S3) = C5⋊C8⋊D6φ: C2×C8⋊S3/C4×S3 → C4 ⊆ Aut C51208C5:1(C2xC8:S3)480,993
C5⋊2(C2×C8⋊S3) = C2×Dic3.F5φ: C2×C8⋊S3/C2×Dic3 → C4 ⊆ Aut C5240C5:2(C2xC8:S3)480,1009
C5⋊3(C2×C8⋊S3) = C2×D6.F5φ: C2×C8⋊S3/C22×S3 → C4 ⊆ Aut C5240C5:3(C2xC8:S3)480,1008
C5⋊4(C2×C8⋊S3) = D5×C8⋊S3φ: C2×C8⋊S3/C8⋊S3 → C2 ⊆ Aut C51204C5:4(C2xC8:S3)480,320
C5⋊5(C2×C8⋊S3) = C2×D30.5C4φ: C2×C8⋊S3/C2×C3⋊C8 → C2 ⊆ Aut C5240C5:5(C2xC8:S3)480,371
C5⋊6(C2×C8⋊S3) = C2×C40⋊S3φ: C2×C8⋊S3/C2×C24 → C2 ⊆ Aut C5240C5:6(C2xC8:S3)480,865
C5⋊7(C2×C8⋊S3) = C2×D6.Dic5φ: C2×C8⋊S3/S3×C2×C4 → C2 ⊆ Aut C5240C5:7(C2xC8:S3)480,370


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