Extensions 1→N→G→Q→1 with N=C₃²×C₂²⋊C₄ and Q=C₃

Direct product G=N×Q with N=C₃²×C₂²⋊C₄ and Q=C₃

		d	ρ	Label	ID
C₂²⋊C₄×C₃³		216		C2^2:C4xC3^3	432,513

Semidirect products G=N:Q with N=C₃²×C₂²⋊C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₂²⋊C₄)⋊C₃ = C₂²⋊C₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₂²⋊C₄	72		(C3^2xC2^2:C4):C3	432,204

Non-split extensions G=N.Q with N=C₃²×C₂²⋊C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₂²⋊C₄).C₃ = C₂²⋊C₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₂²⋊C₄	72		(C3^2xC2^2:C4).C3	432,205
(C₃²×C₂²⋊C₄).₂C₃ = C₂²⋊C₄×C₃×C₉	φ: trivial image	216		(C3^2xC2^2:C4).2C3	432,203

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C32×C22⋊C4 and Q=C3