Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×SL₂(𝔽₃)

Direct product G=N×Q with N=C₇ and Q=C₂×SL₂(𝔽₃)

		d	ρ	Label	ID
C₁₄×SL₂(𝔽₃)		112		C14xSL(2,3)	336,169

Semidirect products G=N:Q with N=C₇ and Q=C₂×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₂×SL₂(𝔽₃)) = Q₈⋊F₇	φ: C₂×SL₂(𝔽₃)/Q₈ → C₆ ⊆ Aut C₇	56	12-	C7:(C2xSL(2,3))	336,135
C₇⋊₂(C₂×SL₂(𝔽₃)) = C₂×C₁₄.A₄	φ: C₂×SL₂(𝔽₃)/C₂×Q₈ → C₃ ⊆ Aut C₇	112		C7:2(C2xSL(2,3))	336,172
C₇⋊₃(C₂×SL₂(𝔽₃)) = D₇×SL₂(𝔽₃)	φ: C₂×SL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₇	56	4-	C7:3(C2xSL(2,3))	336,132

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