Extensions 1→N→G→Q→1 with N=C52 and Q=C3×S3

Direct product G=N×Q with N=C52 and Q=C3×S3
dρLabelID
S3×C5×C15150S3xC5xC15450,28

Semidirect products G=N:Q with N=C52 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
C521(C3×S3) = C3×C52⋊S3φ: C3×S3/C3S3 ⊆ Aut C52453C5^2:1(C3xS3)450,20
C522(C3×S3) = C5⋊D15⋊C3φ: C3×S3/C3C6 ⊆ Aut C52456+C5^2:2(C3xS3)450,24
C523(C3×S3) = S3×C52⋊C3φ: C3×S3/S3C3 ⊆ Aut C52456C5^2:3(C3xS3)450,23
C524(C3×S3) = C15×D15φ: C3×S3/C32C2 ⊆ Aut C52302C5^2:4(C3xS3)450,29
C525(C3×S3) = C3×C5⋊D15φ: C3×S3/C32C2 ⊆ Aut C52150C5^2:5(C3xS3)450,30


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