Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₄₇D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₄₇D₄

		d	ρ	Label	ID
C₇×C₂³.₄₇D₄		224		C7xC2^3.47D4	448,891

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₄₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₄₇D₄) = C₂³.₃₄D₂₈	φ: C₂³.₄₇D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.47D4)	448,255
C₇⋊₂(C₂³.₄₇D₄) = D₁₄.₁SD₁₆	φ: C₂³.₄₇D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.47D4)	448,339
C₇⋊₃(C₂³.₄₇D₄) = D₁₄.₂SD₁₆	φ: C₂³.₄₇D₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.47D4)	448,396
C₇⋊₄(C₂³.₄₇D₄) = C₄⋊C₄.₂₃₁D₁₄	φ: C₂³.₄₇D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.47D4)	448,505
C₇⋊₅(C₂³.₄₇D₄) = C₂²⋊Q₈.D₇	φ: C₂³.₄₇D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.47D4)	448,577

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