Extensions 1→N→G→Q→1 with N=C₂² and Q=A₄

Direct product G=N×Q with N=C₂² and Q=A₄

		d	ρ	Label	ID
C₂²×A₄		12		C2^2xA4	48,49

Semidirect products G=N:Q with N=C₂² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊A₄ = C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂²	12		C2^2:A4	48,50

Non-split extensions G=N.Q with N=C₂² and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².A₄ = C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂²	12	3	C2^2.A4	48,3
C₂².₂A₄ = C₂×SL₂(𝔽₃)	central extension (φ=1)	16		C2^2.2A4	48,32

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Extensions 1→N→G→Q→1 with N=C22 and Q=A4