Extensions 1→N→G→Q→1 with N=C₃×C₂²≀C₂ and Q=C₃

Direct product G=N×Q with N=C₃×C₂²≀C₂ and Q=C₃

		d	ρ	Label	ID
C₃²×C₂²≀C₂		72		C3^2xC2^2wrC2	288,817

Semidirect products G=N:Q with N=C₃×C₂²≀C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²≀C₂)⋊C₃ = C₃×C₂⁴⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²≀C₂	24	6	(C3xC2^2wrC2):C3	288,634

Non-split extensions G=N.Q with N=C₃×C₂²≀C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²≀C₂).C₃ = C₂⁴⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²≀C₂	36	6	(C3xC2^2wrC2).C3	288,73
(C₃×C₂²≀C₂).₂C₃ = C₉×C₂²≀C₂	φ: trivial image	72		(C3xC2^2wrC2).2C3	288,170

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Extensions 1→N→G→Q→1 with N=C3×C22≀C2 and Q=C3