Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅xS₃

Direct product G=NxQ with N=C₈ and Q=C₅xS₃

		d	ρ	Label	ID
S₃xC₄₀		120	2	S3xC40	240,49

Semidirect products G=N:Q with N=C₈ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₅xS₃) = C₅xD₂₄	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:1(C5xS3)	240,52
C₈:₂(C₅xS₃) = C₅xC₂₄:C₂	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:2(C5xS3)	240,51
C₈:₃(C₅xS₃) = C₅xC₈:S₃	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:3(C5xS3)	240,50

Non-split extensions G=N.Q with N=C₈ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₅xS₃) = C₅xDic₁₂	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₈	240	2	C8.(C5xS3)	240,53
C₈.₂(C₅xS₃) = C₅xC₃:C₁₆	central extension (φ=1)	240	2	C8.2(C5xS3)	240,1

Extensions 1→N→G→Q→1 with N=C8 and Q=C5xS3