Extensions 1→N→G→Q→1 with N=C5 and Q=C4×C3⋊S3

Direct product G=N×Q with N=C5 and Q=C4×C3⋊S3
dρLabelID
C3⋊S3×C20180C3:S3xC20360,106

Semidirect products G=N:Q with N=C5 and Q=C4×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C5⋊(C4×C3⋊S3) = C3⋊S3×F5φ: C4×C3⋊S3/C3⋊S3C4 ⊆ Aut C545C5:(C4xC3:S3)360,127
C52(C4×C3⋊S3) = C30.D6φ: C4×C3⋊S3/C3⋊Dic3C2 ⊆ Aut C5180C5:2(C4xC3:S3)360,67
C53(C4×C3⋊S3) = C4×C3⋊D15φ: C4×C3⋊S3/C3×C12C2 ⊆ Aut C5180C5:3(C4xC3:S3)360,111
C54(C4×C3⋊S3) = C3⋊S3×Dic5φ: C4×C3⋊S3/C2×C3⋊S3C2 ⊆ Aut C5180C5:4(C4xC3:S3)360,66


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