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

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

		d	ρ	Label	ID
C₄²×3_-¹⁺²		144		C4^2xES-(3,1)	432,202

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²)⋊₁C₄ = C₃₆⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)):1C4	432,146
(C₄×3_-¹⁺²)⋊₂C₄ = C₄×C₉⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)):2C4	432,144
(C₄×3_-¹⁺²)⋊₃C₄ = C₄⋊C₄×3_-¹⁺²	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)):3C4	432,208

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×3_-¹⁺²).₁C₄ = C₃₆.C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).1C4	432,143
(C₄×3_-¹⁺²).₂C₄ = C₉⋊C₄₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144	6	(C4xES-(3,1)).2C4	432,31
(C₄×3_-¹⁺²).₃C₄ = C₂×C₉⋊C₂₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	144		(C4xES-(3,1)).3C4	432,142
(C₄×3_-¹⁺²).₄C₄ = M₄(2)×3_-¹⁺²	φ: C₄/C₂ → C₂ ⊆ Out C₄×3_-¹⁺²	72	6	(C4xES-(3,1)).4C4	432,214
(C₄×3_-¹⁺²).₅C₄ = C₁₆×3_-¹⁺²	φ: trivial image	144	3	(C4xES-(3,1)).5C4	432,36
(C₄×3_-¹⁺²).₆C₄ = C₂×C₈×3_-¹⁺²	φ: trivial image	144		(C4xES-(3,1)).6C4	432,211

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