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

Direct product G=N×Q with N=C₂² and Q=C₃.S₄

		d	ρ	Label	ID
C₂²×C₃.S₄		36		C2^2xC3.S4	288,835

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃.S₄) = C₂⁴⋊D₉	φ: C₃.S₄/C₂×C₆ → S₃ ⊆ Aut C₂²	36	6	C2^2:(C3.S4)	288,836
C₂²⋊₂(C₃.S₄) = C₂³.D₁₈	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₂²	36	6	C2^2:2(C3.S4)	288,342

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) = C₄²⋊D₉	φ: C₃.S₄/C₂×C₆ → S₃ ⊆ Aut C₂²	36	6+	C2^2.(C3.S4)	288,67
C₂².₂(C₃.S₄) = Q₈.D₁₈	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₂²	144	4	C2^2.2(C3.S4)	288,337
C₂².₃(C₃.S₄) = Q₈⋊Dic₉	central extension (φ=1)	288		C2^2.3(C3.S4)	288,69
C₂².₄(C₃.S₄) = C₂×Q₈.D₉	central extension (φ=1)	288		C2^2.4(C3.S4)	288,335
C₂².₅(C₃.S₄) = C₂×Q₈⋊D₉	central extension (φ=1)	144		C2^2.5(C3.S4)	288,336
C₂².₆(C₃.S₄) = C₂×C₆.S₄	central extension (φ=1)	72		C2^2.6(C3.S4)	288,341

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