Extensions 1→N→G→Q→1 with N=C₂²×3_-¹⁺² and Q=C₄

Direct product G=N×Q with N=C₂²×3_-¹⁺² and Q=C₄

		d	ρ	Label	ID
C₂²×C₄×3_-¹⁺²		144		C2^2xC4xES-(3,1)	432,402

Semidirect products G=N:Q with N=C₂²×3_-¹⁺² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²)⋊₁C₄ = C₆².₂₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)):1C4	432,167
(C₂²×3_-¹⁺²)⋊₂C₄ = C₂²×C₉⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)):2C4	432,378
(C₂²×3_-¹⁺²)⋊₃C₄ = C₂²⋊C₄×3_-¹⁺²	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72		(C2^2xES-(3,1)):3C4	432,205

Non-split extensions G=N.Q with N=C₂²×3_-¹⁺² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²).₁C₄ = C₂×C₉⋊C₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	144		(C2^2xES-(3,1)).1C4	432,142
(C₂²×3_-¹⁺²).₂C₄ = C₃₆.C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72	6	(C2^2xES-(3,1)).2C4	432,143
(C₂²×3_-¹⁺²).₃C₄ = M₄(2)×3_-¹⁺²	φ: C₄/C₂ → C₂ ⊆ Out C₂²×3_-¹⁺²	72	6	(C2^2xES-(3,1)).3C4	432,214
(C₂²×3_-¹⁺²).₄C₄ = C₂×C₈×3_-¹⁺²	φ: trivial image	144		(C2^2xES-(3,1)).4C4	432,211

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁