Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=C₄

Direct product G=N×Q with N=C₄×A₄ and Q=C₄

		d	ρ	Label	ID
A₄×C₄²		48		A4xC4^2	192,993

Semidirect products G=N:Q with N=C₄×A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁C₄ = C₂⁴.₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4):1C4	192,971
(C₄×A₄)⋊₂C₄ = C₄×A₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4):2C4	192,969
(C₄×A₄)⋊₃C₄ = A₄×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×A₄	48		(C4xA4):3C4	192,995

Non-split extensions G=N.Q with N=C₄×A₄ and Q=C₄

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

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