Extensions 1→N→G→Q→1 with N=C₁₈ and Q=SL₂(𝔽₃)

Direct product G=N×Q with N=C₁₈ and Q=SL₂(𝔽₃)

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

Semidirect products G=N:Q with N=C₁₈ and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊SL₂(𝔽₃) = C₂×C₁₈.A₄	φ: SL₂(𝔽₃)/Q₈ → C₃ ⊆ Aut C₁₈	144		C18:SL(2,3)	432,328

Non-split extensions G=N.Q with N=C₁₈ and Q=SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.SL₂(𝔽₃) = C₂×Q₈⋊C₂₇	central extension (φ=1)	432		C18.SL(2,3)	432,41

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Extensions 1→N→G→Q→1 with N=C18 and Q=SL2(𝔽3)