Extensions 1→N→G→Q→1 with N=C₄:C₄ and Q=C₃xC₆

Direct product G=NxQ with N=C₄:C₄ and Q=C₃xC₆

		d	ρ	Label	ID
C₄:C₄xC₃xC₆		288		C4:C4xC3xC6	288,813

Semidirect products G=N:Q with N=C₄:C₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄:₁(C₃xC₆) = C₃²xD₄:C₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	144		C4:C4:1(C3xC6)	288,320
C₄:C₄:₂(C₃xC₆) = C₃²xC₄:D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	144		C4:C4:2(C3xC6)	288,818
C₄:C₄:₃(C₃xC₆) = C₃²xC₂²:Q₈	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	144		C4:C4:3(C3xC6)	288,819
C₄:C₄:₄(C₃xC₆) = C₃²xC₂².D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	144		C4:C4:4(C3xC6)	288,820
C₄:C₄:₅(C₃xC₆) = C₃²xC₄²:₂C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	144		C4:C4:5(C3xC6)	288,823
C₄:C₄:₆(C₃xC₆) = C₃²xC₄²:C₂	φ: trivial image	144		C4:C4:6(C3xC6)	288,814
C₄:C₄:₇(C₃xC₆) = D₄xC₃xC₁₂	φ: trivial image	144		C4:C4:7(C3xC6)	288,815

Non-split extensions G=N.Q with N=C₄:C₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄.₁(C₃xC₆) = C₃²xQ₈:C₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	288		C4:C4.1(C3xC6)	288,321
C₄:C₄.₂(C₃xC₆) = C₃²xC₄.Q₈	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	288		C4:C4.2(C3xC6)	288,324
C₄:C₄.₃(C₃xC₆) = C₃²xC₂.D₈	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	288		C4:C4.3(C3xC6)	288,325
C₄:C₄.₄(C₃xC₆) = C₃²xC₄².C₂	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	288		C4:C4.4(C3xC6)	288,822
C₄:C₄.₅(C₃xC₆) = C₃²xC₄:Q₈	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₄:C₄	288		C4:C4.5(C3xC6)	288,825
C₄:C₄.₆(C₃xC₆) = Q₈xC₃xC₁₂	φ: trivial image	288		C4:C4.6(C3xC6)	288,816

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