Extensions 1→N→G→Q→1 with N=C₃²×A₄ and Q=C₂²

Direct product G=N×Q with N=C₃²×A₄ and Q=C₂²

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₃²×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×A₄)⋊₁C₂² = C₃×S₃×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×A₄	24	6	(C3^2xA4):1C2^2	432,745
(C₃²×A₄)⋊₂C₂² = C₃⋊S₃×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×A₄	36		(C3^2xA4):2C2^2	432,746
(C₃²×A₄)⋊₃C₂² = S₃×C₃⋊S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×A₄	24	12+	(C3^2xA4):3C2^2	432,747
(C₃²×A₄)⋊₄C₂² = C₆²⋊₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×A₄	24	12+	(C3^2xA4):4C2^2	432,748
(C₃²×A₄)⋊₅C₂² = S₃²×A₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃²×A₄	24	12+	(C3^2xA4):5C2^2	432,749
(C₃²×A₄)⋊₆C₂² = C₃×C₆×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×A₄	54		(C3^2xA4):6C2^2	432,760
(C₃²×A₄)⋊₇C₂² = C₆×C₃⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×A₄	36	6	(C3^2xA4):7C2^2	432,761
(C₃²×A₄)⋊₈C₂² = C₂×C₃²⋊₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×A₄	54		(C3^2xA4):8C2^2	432,762
(C₃²×A₄)⋊₉C₂² = S₃×C₆×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×A₄	36	6	(C3^2xA4):9C2^2	432,763
(C₃²×A₄)⋊₁₀C₂² = C₂×A₄×C₃⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃²×A₄	54		(C3^2xA4):10C2^2	432,764

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁