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

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

		d	ρ	Label	ID
C₄×C₄.A₄		64		C4xC4.A4	192,997

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₄.A₄) = SL₂(𝔽₃)⋊₆D₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4:(C4.A4)	192,1005

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₄.A₄) = SL₂(𝔽₃)⋊₃Q₈	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4.(C4.A4)	192,1006
C₄.₂(C₄.A₄) = C₈×SL₂(𝔽₃)	central extension (φ=1)	64		C4.2(C4.A4)	192,200

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