Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃.S₄

Direct product G=N×Q with N=C₄ and Q=C₃.S₄

		d	ρ	Label	ID
C₄×C₃.S₄		36	6	C4xC3.S4	288,333

Semidirect products G=N:Q with N=C₄ and Q=C₃.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃.S₄) = C₂²⋊D₃₆	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₄	36	6+	C4:(C3.S4)	288,334

Non-split extensions G=N.Q with N=C₄ and Q=C₃.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₃.S₄) = C₁₂.₁S₄	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₄	72	6-	C4.1(C3.S4)	288,332
C₄.₂(C₃.S₄) = C₁₂.₃S₄	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₄	144	4-	C4.2(C3.S4)	288,338
C₄.₃(C₃.S₄) = C₁₂.₄S₄	φ: C₃.S₄/C₃.A₄ → C₂ ⊆ Aut C₄	72	4+	C4.3(C3.S4)	288,340
C₄.₄(C₃.S₄) = C₁₂.S₄	central extension (φ=1)	72	6	C4.4(C3.S4)	288,68
C₄.₅(C₃.S₄) = C₁₂.₉S₄	central extension (φ=1)	72	4	C4.5(C3.S4)	288,70
C₄.₆(C₃.S₄) = C₁₂.₁₁S₄	central extension (φ=1)	144	4	C4.6(C3.S4)	288,339

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