Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₃×D₅

Direct product G=N×Q with N=M₄(2) and Q=C₃×D₅

		d	ρ	Label	ID
C₃×D₅×M₄(2)		120	4	C3xD5xM4(2)	480,699

Semidirect products G=N:Q with N=M₄(2) and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁(C₃×D₅) = C₃×C₈⋊D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):1(C3xD5)	480,701
M₄(2)⋊₂(C₃×D₅) = C₃×C₈.D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2):2(C3xD5)	480,702
M₄(2)⋊₃(C₃×D₅) = C₃×C₂₀.₄₆D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):3(C3xD5)	480,101
M₄(2)⋊₄(C₃×D₅) = C₃×D₂₀⋊₇C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	120	4	M4(2):4(C3xD5)	480,103
M₄(2)⋊₅(C₃×D₅) = C₃×D₂₀.₂C₄	φ: trivial image	240	4	M4(2):5(C3xD5)	480,700

Non-split extensions G=N.Q with N=M₄(2) and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁(C₃×D₅) = C₃×C₂₀.₅₃D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2).1(C3xD5)	480,100
M₄(2).₂(C₃×D₅) = C₃×C₄.₁₂D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out M₄(2)	240	4	M4(2).2(C3xD5)	480,102

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁