Extensions 1→N→G→Q→1 with N=C₃.A₄ and Q=C₃²

Direct product G=N×Q with N=C₃.A₄ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₃.A₄		162		C3^2xC3.A4	324,133

Semidirect products G=N:Q with N=C₃.A₄ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.A₄⋊₁C₃² = C₃×C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	108		C3.A4:1C3^2	324,127
C₃.A₄⋊₂C₃² = A₄×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	36	9	C3.A4:2C3^2	324,131
C₃.A₄⋊₃C₃² = C₃×C₃².A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	54		C3.A4:3C3^2	324,134
C₃.A₄⋊₄C₃² = A₄×C₃×C₉	φ: trivial image	108		C3.A4:4C3^2	324,126

Non-split extensions G=N.Q with N=C₃.A₄ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.A₄.₁C₃² = C₆².₂₅C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	54	3	C3.A4.1C3^2	324,128
C₃.A₄.₂C₃² = He₃.₂A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	54	9	C3.A4.2C3^2	324,129
C₃.A₄.₃C₃² = C₆².₉C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₃.A₄	54	9	C3.A4.3C3^2	324,132

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