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

Direct product G=N×Q with N=C5 and Q=C2×S3×D4
dρLabelID
S3×D4×C10120S3xD4xC10480,1154

Semidirect products G=N:Q with N=C5 and Q=C2×S3×D4
extensionφ:Q→Aut NdρLabelID
C51(C2×S3×D4) = C2×S3×D20φ: C2×S3×D4/S3×C2×C4C2 ⊆ Aut C5120C5:1(C2xS3xD4)480,1088
C52(C2×S3×D4) = C2×C20⋊D6φ: C2×S3×D4/C2×D12C2 ⊆ Aut C5120C5:2(C2xS3xD4)480,1089
C53(C2×S3×D4) = S3×D4×D5φ: C2×S3×D4/S3×D4C2 ⊆ Aut C5608+C5:3(C2xS3xD4)480,1097
C54(C2×S3×D4) = C2×D10⋊D6φ: C2×S3×D4/C2×C3⋊D4C2 ⊆ Aut C5120C5:4(C2xS3xD4)480,1124
C55(C2×S3×D4) = C2×D4×D15φ: C2×S3×D4/C6×D4C2 ⊆ Aut C5120C5:5(C2xS3xD4)480,1169
C56(C2×S3×D4) = C2×S3×C5⋊D4φ: C2×S3×D4/S3×C23C2 ⊆ Aut C5120C5:6(C2xS3xD4)480,1123


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