Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₁₄

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₁₄

		d	ρ	Label	ID
C₁₄×SL₂(𝔽₃)		112		C14xSL(2,3)	336,169

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊C₁₄ = C₇×GL₂(𝔽₃)	φ: C₁₄/C₇ → C₂ ⊆ Out SL₂(𝔽₃)	56	2	SL(2,3):C14	336,116
SL₂(𝔽₃)⋊₂C₁₄ = C₇×C₄.A₄	φ: trivial image	112	2	SL(2,3):2C14	336,170

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₁₄ = C₇×CSU₂(𝔽₃)	φ: C₁₄/C₇ → C₂ ⊆ Out SL₂(𝔽₃)	112	2	SL(2,3).C14	336,115

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C14