Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×SL₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=C₄×SL₂(𝔽₃)

		d	ρ	Label	ID
C₁₂×SL₂(𝔽₃)		96		C12xSL(2,3)	288,633

Semidirect products G=N:Q with N=C₃ and Q=C₄×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄×SL₂(𝔽₃)) = Dic₃×SL₂(𝔽₃)	φ: C₄×SL₂(𝔽₃)/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	96		C3:(C4xSL(2,3))	288,409

Non-split extensions G=N.Q with N=C₃ and Q=C₄×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×SL₂(𝔽₃)) = C₄×Q₈⋊C₉	central extension (φ=1)	288		C3.(C4xSL(2,3))	288,72

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4×SL2(𝔽3)