Extensions 1→N→G→Q→1 with N=C₃.A₄ and Q=C₆

Direct product G=N×Q with N=C₃.A₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₃.A₄		54		C6xC3.A4	216,105

Semidirect products G=N:Q with N=C₃.A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.A₄⋊C₆ = C₃².S₄	φ: C₆/C₁ → C₆ ⊆ Out C₃.A₄	18	6+	C3.A4:C6	216,90
C₃.A₄⋊₂C₆ = C₂×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃.A₄	54	3	C3.A4:2C6	216,104
C₃.A₄⋊₃C₆ = C₂×C₃².A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃.A₄	18	3	C3.A4:3C6	216,106
C₃.A₄⋊₄C₆ = C₃×C₃.S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃.A₄	36	6	C3.A4:4C6	216,91
C₃.A₄⋊₅C₆ = A₄×C₁₈	φ: trivial image	54	3	C3.A4:5C6	216,103

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