Extensions 1→N→G→Q→1 with N=C₉ and Q=GL₂(𝔽₃)

Direct product G=N×Q with N=C₉ and Q=GL₂(𝔽₃)

		d	ρ	Label	ID
C₉×GL₂(𝔽₃)		72	2	C9xGL(2,3)	432,241

Semidirect products G=N:Q with N=C₉ and Q=GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊GL₂(𝔽₃) = C₁₈.₆S₄	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	72	4+	C9:GL(2,3)	432,253

Non-split extensions G=N.Q with N=C₉ and Q=GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.GL₂(𝔽₃) = Q₈⋊D₂₇	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	216	4+	C9.GL(2,3)	432,38

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Extensions 1→N→G→Q→1 with N=C9 and Q=GL2(𝔽3)