Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×SL₂(𝔽₃)

Direct product G=N×Q with N=C₉ and Q=C₂×SL₂(𝔽₃)

		d	ρ	Label	ID
C₁₈×SL₂(𝔽₃)		144		C18xSL(2,3)	432,327

Semidirect products G=N:Q with N=C₉ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₂×SL₂(𝔽₃)) = D₁₈.A₄	φ: C₂×SL₂(𝔽₃)/Q₈ → C₆ ⊆ Aut C₉	72	12-	C9:(C2xSL(2,3))	432,263
C₉⋊₂(C₂×SL₂(𝔽₃)) = C₂×C₁₈.A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₉	144		C9:2(C2xSL(2,3))	432,328
C₉⋊₃(C₂×SL₂(𝔽₃)) = D₉×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	72	4-	C9:3(C2xSL(2,3))	432,264

Non-split extensions G=N.Q with N=C₉ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂×SL₂(𝔽₃)) = C₂×Q₈⋊C₂₇	central extension (φ=1)	432		C9.(C2xSL(2,3))	432,41

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Extensions 1→N→G→Q→1 with N=C9 and Q=C2×SL2(𝔽3)