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Extensions 1→N→G→Q→1 with N=C15 and Q=C3:S3

Direct product G=NxQ with N=C15 and Q=C3:S3
dρLabelID
C15xC3:S390C15xC3:S3270,26

Semidirect products G=N:Q with N=C15 and Q=C3:S3
extensionφ:Q→Aut NdρLabelID
C15:1(C3:S3) = C33:D5φ: C3:S3/C32 → C2 ⊆ Aut C15135C15:1(C3:S3)270,29
C15:2(C3:S3) = C3xC3:D15φ: C3:S3/C32 → C2 ⊆ Aut C1590C15:2(C3:S3)270,27
C15:3(C3:S3) = C5xC33:C2φ: C3:S3/C32 → C2 ⊆ Aut C15135C15:3(C3:S3)270,28

Non-split extensions G=N.Q with N=C15 and Q=C3:S3
extensionφ:Q→Aut NdρLabelID
C15.1(C3:S3) = C3:D45φ: C3:S3/C32 → C2 ⊆ Aut C15135C15.1(C3:S3)270,18
C15.2(C3:S3) = C32:D15φ: C3:S3/C32 → C2 ⊆ Aut C15456C15.2(C3:S3)270,19
C15.3(C3:S3) = C5xC9:S3φ: C3:S3/C32 → C2 ⊆ Aut C15135C15.3(C3:S3)270,16
C15.4(C3:S3) = C5xHe3:C2central extension (φ=1)453C15.4(C3:S3)270,17

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