Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃:S₄

Direct product G=NxQ with N=C₂² and Q=C₃:S₄

		d	ρ	Label	ID
C₂²xC₃:S₄		36		C2^2xC3:S4	288,1034

Semidirect products G=N:Q with N=C₂² and Q=C₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₃:S₄) = PSO₄⁺ (F₃)	φ: C₃:S₄/A₄ → S₃ ⊆ Aut C₂²	12	9+	C2^2:1(C3:S4)	288,1026
C₂²:₂(C₃:S₄) = (C₂xC₆):S₄	φ: C₃:S₄/C₂xC₆ → S₃ ⊆ Aut C₂²	24	6	C2^2:2(C3:S4)	288,1036
C₂²:₃(C₃:S₄) = (C₂xC₆):₄S₄	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C3:S4)	288,917

Non-split extensions G=N.Q with N=C₂² and Q=C₃:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃:S₄) = (C₄xC₁₂):S₃	φ: C₃:S₄/C₂xC₆ → S₃ ⊆ Aut C₂²	36	6+	C2^2.(C3:S4)	288,401
C₂².₂(C₃:S₄) = SL₂(F₃).D₆	φ: C₃:S₄/C₃xA₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.2(C3:S4)	288,912
C₂².₃(C₃:S₄) = C₆.GL₂(F₃)	central extension (φ=1)	96		C2^2.3(C3:S4)	288,403
C₂².₄(C₃:S₄) = C₂xC₆.₅S₄	central extension (φ=1)	96		C2^2.4(C3:S4)	288,910
C₂².₅(C₃:S₄) = C₂xC₆.₆S₄	central extension (φ=1)	48		C2^2.5(C3:S4)	288,911
C₂².₆(C₃:S₄) = C₂xC₆.₇S₄	central extension (φ=1)	72		C2^2.6(C3:S4)	288,916

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