Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xSL₂(F₃)

Direct product G=NxQ with N=C₃ and Q=C₆xSL₂(F₃)

		d	ρ	Label	ID
C₃xC₆xSL₂(F₃)		144		C3xC6xSL(2,3)	432,698

Semidirect products G=N:Q with N=C₃ and Q=C₆xSL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₆xSL₂(F₃)) = C₃xS₃xSL₂(F₃)	φ: C₆xSL₂(F₃)/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	48	4	C3:(C6xSL(2,3))	432,623

Non-split extensions G=N.Q with N=C₃ and Q=C₆xSL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆xSL₂(F₃)) = C₁₈xSL₂(F₃)	central extension (φ=1)	144		C3.1(C6xSL(2,3))	432,327
C₃.₂(C₆xSL₂(F₃)) = C₆xQ₈:C₉	central extension (φ=1)	432		C3.2(C6xSL(2,3))	432,334
C₃.₃(C₆xSL₂(F₃)) = C₂xC₁₈.A₄	central stem extension (φ=1)	144		C3.3(C6xSL(2,3))	432,328
C₃.₄(C₆xSL₂(F₃)) = C₂xQ₈:3_-¹⁺²	central stem extension (φ=1)	144		C3.4(C6xSL(2,3))	432,335
C₃.₅(C₆xSL₂(F₃)) = C₂xQ₈:He₃	central stem extension (φ=1)	144		C3.5(C6xSL(2,3))	432,336

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