Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₁₄

Direct product G=N×Q with N=C₂²×S₃ and Q=C₁₄

		d	ρ	Label	ID
S₃×C₂²×C₁₄		168		S3xC2^2xC14	336,226

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁C₁₄ = C₁₄×D₁₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3):1C14	336,186
(C₂²×S₃)⋊₂C₁₄ = S₃×C₇×D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×S₃	84	4	(C2^2xS3):2C14	336,188
(C₂²×S₃)⋊₃C₁₄ = C₁₄×C₃⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3):3C14	336,193

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₁₄ = C₇×D₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×S₃	168		(C2^2xS3).C14	336,84
(C₂²×S₃).₂C₁₄ = S₃×C₂×C₂₈	φ: trivial image	168		(C2^2xS3).2C14	336,185

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C14