Extensions 1→N→G→Q→1 with N=C₁₅ and Q=M₅(2)

Direct product G=N×Q with N=C₁₅ and Q=M₅(2)

		d	ρ	Label	ID
C₁₅×M₅(2)		240	2	C15xM5(2)	480,213

Semidirect products G=N:Q with N=C₁₅ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁M₅(2) = C₁₅⋊M₅(2)	φ: M₅(2)/C₄ → C₂×C₄ ⊆ Aut C₁₅	240	8	C15:1M5(2)	480,241
C₁₅⋊₂M₅(2) = D₃₀.C₈	φ: M₅(2)/C₄ → C₂×C₄ ⊆ Aut C₁₅	240	8	C15:2M5(2)	480,242
C₁₅⋊₃M₅(2) = C₁₂₀.C₄	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₅	240	4	C15:3M5(2)	480,295
C₁₅⋊₄M₅(2) = C₃×C₈.F₅	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₅	240	4	C15:4M5(2)	480,270
C₁₅⋊₅M₅(2) = C₄₀.₅₁D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:5M5(2)	480,10
C₁₅⋊₆M₅(2) = C₄₀.₅₂D₆	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:6M5(2)	480,11
C₁₅⋊₇M₅(2) = D₃₀.₅C₈	φ: M₅(2)/C₈ → C₂² ⊆ Aut C₁₅	240	4	C15:7M5(2)	480,12
C₁₅⋊₈M₅(2) = C₆₀.C₈	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₅	240	4	C15:8M5(2)	480,303
C₁₅⋊₉M₅(2) = C₃×C₂₀.C₈	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₅	240	4	C15:9M5(2)	480,278
C₁₅⋊₁₀M₅(2) = C₈₀⋊S₃	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:10M5(2)	480,158
C₁₅⋊₁₁M₅(2) = C₃×C₈₀⋊C₂	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:11M5(2)	480,76
C₁₅⋊₁₂M₅(2) = C₅×D₆.C₈	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₅	240	2	C15:12M5(2)	480,117
C₁₅⋊₁₃M₅(2) = C₆₀.₇C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₅	240	2	C15:13M5(2)	480,172
C₁₅⋊₁₄M₅(2) = C₃×C₂₀.₄C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₅	240	2	C15:14M5(2)	480,90
C₁₅⋊₁₅M₅(2) = C₅×C₁₂.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₅	240	2	C15:15M5(2)	480,131

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