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

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

		d	ρ	Label	ID
C₂²×C₂²⋊A₄		12		C2^2xC2^2:A4	192,1540

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂²⋊A₄) = C₂⁶⋊C₃	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₂²	24		C2^2:(C2^2:A4)	192,1541

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²⋊A₄) = C₄²⋊₂A₄	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₂²	24		C2^2.1(C2^2:A4)	192,1020
C₂².₂(C₂²⋊A₄) = C₄²⋊A₄	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₂²	16	12+	C2^2.2(C2^2:A4)	192,1023
C₂².₃(C₂²⋊A₄) = C₄².A₄	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₂²	48	12-	C2^2.3(C2^2:A4)	192,1025
C₂².₄(C₂²⋊A₄) = C₂×Q₈⋊A₄	central extension (φ=1)	48		C2^2.4(C2^2:A4)	192,1506
C₂².₅(C₂²⋊A₄) = C₂×C₂³⋊A₄	central extension (φ=1)	16		C2^2.5(C2^2:A4)	192,1508
C₂².₆(C₂²⋊A₄) = C₂⁴.₇A₄	central stem extension (φ=1)	16		C2^2.6(C2^2:A4)	192,1021
C₂².₇(C₂²⋊A₄) = Q₈⋊SL₂(𝔽₃)	central stem extension (φ=1)	64		C2^2.7(C2^2:A4)	192,1022
C₂².₈(C₂²⋊A₄) = C₂⁴⋊₅A₄	central stem extension (φ=1)	16		C2^2.8(C2^2:A4)	192,1024

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