Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×D₅

Direct product G=N×Q with N=C₈ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₂₄		120	2	D5xC24	240,33

Semidirect products G=N:Q with N=C₈ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃×D₅) = C₃×D₄₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:1(C3xD5)	240,36
C₈⋊₂(C₃×D₅) = C₃×C₄₀⋊C₂	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:2(C3xD5)	240,35
C₈⋊₃(C₃×D₅) = C₃×C₈⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:3(C3xD5)	240,34

Non-split extensions G=N.Q with N=C₈ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃×D₅) = C₃×Dic₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₈	240	2	C8.(C3xD5)	240,37
C₈.₂(C₃×D₅) = C₃×C₅⋊₂C₁₆	central extension (φ=1)	240	2	C8.2(C3xD5)	240,2

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Extensions 1→N→G→Q→1 with N=C8 and Q=C3×D5