Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×SL₂(𝔽₃)

Direct product G=N×Q with N=C₂² and Q=C₂×SL₂(𝔽₃)

		d	ρ	Label	ID
C₂³×SL₂(𝔽₃)		64		C2^3xSL(2,3)	192,1498

Semidirect products G=N:Q with N=C₂² and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×SL₂(𝔽₃)) = C₂×Q₈⋊A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₂²	48		C2^2:(C2xSL(2,3))	192,1506
C₂²⋊₂(C₂×SL₂(𝔽₃)) = D₄×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₂²	32		C2^2:2(C2xSL(2,3))	192,1004

Non-split extensions G=N.Q with N=C₂² and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×SL₂(𝔽₃)) = C₂×C₂³.₃A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₂²	24		C2^2.1(C2xSL(2,3))	192,189
C₂².₂(C₂×SL₂(𝔽₃)) = C₂⁴.A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₂²	24	6	C2^2.2(C2xSL(2,3))	192,195
C₂².₃(C₂×SL₂(𝔽₃)) = C₂⁴.₂A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₂²	12	6+	C2^2.3(C2xSL(2,3))	192,197
C₂².₄(C₂×SL₂(𝔽₃)) = C₂⁴.₃A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₂²	24	6	C2^2.4(C2xSL(2,3))	192,198
C₂².₅(C₂×SL₂(𝔽₃)) = C₂×C₄×SL₂(𝔽₃)	central extension (φ=1)	64		C2^2.5(C2xSL(2,3))	192,996

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