Extensions 1→N→G→Q→1 with N=C₄xA₄ and Q=C₄

Direct product G=NxQ with N=C₄xA₄ and Q=C₄

		d	ρ	Label	ID
A₄xC₄²		48		A4xC4^2	192,993

Semidirect products G=N:Q with N=C₄xA₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄):₁C₄ = C₂⁴.₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4):1C4	192,971
(C₄xA₄):₂C₄ = C₄xA₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4):2C4	192,969
(C₄xA₄):₃C₄ = A₄xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4):3C4	192,995

Non-split extensions G=N.Q with N=C₄xA₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xA₄).₁C₄ = A₄:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).1C4	192,968
(C₄xA₄).₂C₄ = A₄:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	48	3	(C4xA4).2C4	192,186
(C₄xA₄).₃C₄ = C₂xA₄:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	48		(C4xA4).3C4	192,967
(C₄xA₄).₄C₄ = A₄xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xA₄	24	6	(C4xA4).4C4	192,1011
(C₄xA₄).₅C₄ = A₄xC₁₆	φ: trivial image	48	3	(C4xA4).5C4	192,203
(C₄xA₄).₆C₄ = A₄xC₂xC₈	φ: trivial image	48		(C4xA4).6C4	192,1010

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