Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₄₆D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₄₆D₄

		d	ρ	Label	ID
C₇×C₂³.₄₆D₄		224		C7xC2^3.46D4	448,889

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₄₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₄₆D₄) = C₂³.₃₈D₂₈	φ: C₂³.₄₆D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.46D4)	448,269
C₇⋊₂(C₂³.₄₆D₄) = D₁₄.SD₁₆	φ: C₂³.₄₆D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.46D4)	448,311
C₇⋊₃(C₂³.₄₆D₄) = D₁₄.₄SD₁₆	φ: C₂³.₄₆D₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.46D4)	448,397
C₇⋊₄(C₂³.₄₆D₄) = C₄⋊C₄.₂₂₈D₁₄	φ: C₂³.₄₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.46D4)	448,502
C₇⋊₅(C₂³.₄₆D₄) = C₄⋊D₄.D₇	φ: C₂³.₄₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.46D4)	448,568

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