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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2))⋊₁D₅ = C₈⋊D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4+	(C3xM4(2)):1D5	480,873
(C₃×M₄(2))⋊₂D₅ = C₈.D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4-	(C3xM4(2)):2D5	480,874
(C₃×M₄(2))⋊₃D₅ = C₃×C₈⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):3D5	480,701
(C₃×M₄(2))⋊₄D₅ = C₃×C₈.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)):4D5	480,702
(C₃×M₄(2))⋊₅D₅ = M₄(2)×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):5D5	480,871
(C₃×M₄(2))⋊₆D₅ = D₆₀.₃C₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)):6D5	480,872
(C₃×M₄(2))⋊₇D₅ = C₃×C₂₀.₄₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):7D5	480,101
(C₃×M₄(2))⋊₈D₅ = C₃×D₂₀⋊₇C₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):8D5	480,103
(C₃×M₄(2))⋊₉D₅ = M₄(2)⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4+	(C3xM4(2)):9D5	480,183
(C₃×M₄(2))⋊₁₀D₅ = D₆₀⋊₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	120	4	(C3xM4(2)):10D5	480,185
(C₃×M₄(2))⋊₁₁D₅ = C₃×D₂₀.₂C₄	φ: trivial image	240	4	(C3xM4(2)):11D5	480,700

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×M₄(2)).₁D₅ = C₃×C₂₀.₅₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).1D5	480,100
(C₃×M₄(2)).₂D₅ = C₃×C₄.₁₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).2D5	480,102
(C₃×M₄(2)).₃D₅ = C₆₀.₂₁₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4	(C3xM4(2)).3D5	480,182
(C₃×M₄(2)).₄D₅ = C₄.D₆₀	φ: D₅/C₅ → C₂ ⊆ Out C₃×M₄(2)	240	4-	(C3xM4(2)).4D5	480,184

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁