Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄.A₄

Direct product G=N×Q with N=C₇ and Q=C₄.A₄

		d	ρ	Label	ID
C₇×C₄.A₄		112	2	C7xC4.A4	336,170

Semidirect products G=N:Q with N=C₇ and Q=C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₄.A₄) = Q₈.F₇	φ: C₄.A₄/Q₈ → C₆ ⊆ Aut C₇	112	12+	C7:(C4.A4)	336,134
C₇⋊₂(C₄.A₄) = C₂₈.A₄	φ: C₄.A₄/C₄○D₄ → C₃ ⊆ Aut C₇	112	6	C7:2(C4.A4)	336,173
C₇⋊₃(C₄.A₄) = Dic₇.₂A₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₇	112	4+	C7:3(C4.A4)	336,131

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