Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₁₈

Direct product G=N×Q with N=C₂²×S₃ and Q=C₁₈

		d	ρ	Label	ID
S₃×C₂²×C₁₈		144		S3xC2^2xC18	432,557

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₁₈ = C₂×S₃×C₃.A₄	φ: C₁₈/C₆ → C₃ ⊆ Out C₂²×S₃	36	6	(C2^2xS3):C18	432,541
(C₂²×S₃)⋊₂C₁₈ = C₁₈×D₁₂	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²×S₃	144		(C2^2xS3):2C18	432,346
(C₂²×S₃)⋊₃C₁₈ = S₃×D₄×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²×S₃	72	4	(C2^2xS3):3C18	432,358
(C₂²×S₃)⋊₄C₁₈ = C₁₈×C₃⋊D₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²×S₃	72		(C2^2xS3):4C18	432,375

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₁₈ = C₉×D₆⋊C₄	φ: C₁₈/C₉ → C₂ ⊆ Out C₂²×S₃	144		(C2^2xS3).C18	432,135
(C₂²×S₃).₂C₁₈ = S₃×C₂×C₃₆	φ: trivial image	144		(C2^2xS3).2C18	432,345

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁