Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₃₆D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₃₆D₄

		d	ρ	Label	ID
C₇×C₂³.₃₆D₄		224		C7xC2^3.36D4	448,825

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₃₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₃₆D₄) = D₄⋊(C₄×D₇)	φ: C₂³.₃₆D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.36D4)	448,305
C₇⋊₂(C₂³.₃₆D₄) = Q₈⋊(C₄×D₇)	φ: C₂³.₃₆D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.36D4)	448,337
C₇⋊₃(C₂³.₃₆D₄) = C₄○D₂₈⋊C₄	φ: C₂³.₃₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.36D4)	448,500
C₇⋊₄(C₂³.₃₆D₄) = C₂³.₄₉D₂₈	φ: C₂³.₃₆D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:4(C2^3.36D4)	448,667
C₇⋊₅(C₂³.₃₆D₄) = C₄○D₄⋊Dic₇	φ: C₂³.₃₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.36D4)	448,766

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