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
C₄×C₄.A₄		64		C4xC4.A4	192,997

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄⋊₁C₄ = U₂(𝔽₃)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	32	4	C4.A4:1C4	192,982
C₄.A₄⋊₂C₄ = (C₂×C₄).S₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	64		C4.A4:2C4	192,985
C₄.A₄⋊₃C₄ = C₂×U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	48		C4.A4:3C4	192,981
C₄.A₄⋊₄C₄ = C₄.A₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	64		C4.A4:4C4	192,983
C₄.A₄⋊₅C₄ = C₄○D₄⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	64		C4.A4:5C4	192,999

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 = C₈.₇S₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	64	2	C4.A4.1C4	192,187
C₄.A₄.₂C₄ = M₄(2).A₄	φ: C₄/C₂ → C₂ ⊆ Out C₄.A₄	32	4	C4.A4.2C4	192,1013
C₄.A₄.₃C₄ = C₁₆.A₄	φ: trivial image	64	2	C4.A4.3C4	192,204
C₄.A₄.₄C₄ = C₂×C₈.A₄	φ: trivial image	64		C4.A4.4C4	192,1012

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