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
A₄×C₂₈		84	3	A4xC28	336,168

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₄×A₄) = Dic₇⋊A₄	φ: C₄×A₄/C₂³ → C₆ ⊆ Aut C₇	84	6-	C7:(C4xA4)	336,136
C₇⋊₂(C₄×A₄) = C₄×C₇⋊A₄	φ: C₄×A₄/C₂²×C₄ → C₃ ⊆ Aut C₇	84	3	C7:2(C4xA4)	336,171
C₇⋊₃(C₄×A₄) = A₄×Dic₇	φ: C₄×A₄/C₂×A₄ → C₂ ⊆ Aut C₇	84	6-	C7:3(C4xA4)	336,133

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