Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×SL₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=C₂×SL₂(𝔽₃)

		d	ρ	Label	ID
C₆×SL₂(𝔽₃)		48		C6xSL(2,3)	144,156

Semidirect products G=N:Q with N=C₃ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×SL₂(𝔽₃)) = S₃×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	24	4-	C3:(C2xSL(2,3))	144,128

Non-split extensions G=N.Q with N=C₃ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×SL₂(𝔽₃)) = C₂×Q₈⋊C₉	central extension (φ=1)	144		C3.(C2xSL(2,3))	144,35

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×SL2(𝔽3)