Extensions 1→N→G→Q→1 with N=C₆×C₄○D₄ and Q=C₃

Direct product G=N×Q with N=C₆×C₄○D₄ and Q=C₃

		d	ρ	Label	ID
C₄○D₄×C₃×C₆		144		C4oD4xC3xC6	288,1021

Semidirect products G=N:Q with N=C₆×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₄○D₄)⋊C₃ = C₆×C₄.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₄○D₄	96		(C6xC4oD4):C3	288,983

Non-split extensions G=N.Q with N=C₆×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₄○D₄).C₃ = C₂×Q₈.C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₆×C₄○D₄	144		(C6xC4oD4).C3	288,347
(C₆×C₄○D₄).₂C₃ = C₄○D₄×C₁₈	φ: trivial image	144		(C6xC4oD4).2C3	288,370

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6×C4○D4 and Q=C3