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

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

		d	ρ	Label	ID
C₄⋊C₄×C₃³		432		C4:C4xC3^3	432,514

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄⋊C₄)⋊C₃ = C₄⋊C₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄⋊C₄	144		(C3^2xC4:C4):C3	432,207

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄⋊C₄).C₃ = C₄⋊C₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄⋊C₄	144		(C3^2xC4:C4).C3	432,208
(C₃²×C₄⋊C₄).₂C₃ = C₄⋊C₄×C₃×C₉	φ: trivial image	432		(C3^2xC4:C4).2C3	432,206

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