Extensions 1→N→G→Q→1 with N=C₃ and Q=GL₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=GL₂(𝔽₃)

		d	ρ	Label	ID
C₃×GL₂(𝔽₃)		24	2	C3xGL(2,3)	144,122

Semidirect products G=N:Q with N=C₃ and Q=GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊GL₂(𝔽₃) = C₆.₆S₄	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	24	4+	C3:GL(2,3)	144,125

Non-split extensions G=N.Q with N=C₃ and Q=GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.GL₂(𝔽₃) = Q₈⋊D₉	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	72	4+	C3.GL(2,3)	144,32

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Extensions 1→N→G→Q→1 with N=C3 and Q=GL2(𝔽3)