Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.₂D₄

Direct product G=N×Q with N=C₇ and Q=C₈.₂D₄

		d	ρ	Label	ID
C₇×C₈.₂D₄		224		C7xC8.2D4	448,905

Semidirect products G=N:Q with N=C₇ and Q=C₈.₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.₂D₄) = C₈.D₂₈	φ: C₈.₂D₄/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C8.2D4)	448,249
C₇⋊₂(C₈.₂D₄) = C₄².₆₅D₁₄	φ: C₈.₂D₄/C₄.₄D₄ → C₂ ⊆ Aut C₇	224		C7:2(C8.2D4)	448,594
C₇⋊₃(C₈.₂D₄) = C₄².₈₀D₁₄	φ: C₈.₂D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C8.2D4)	448,620
C₇⋊₄(C₈.₂D₄) = C₅₆.₃₁D₄	φ: C₈.₂D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₇	224		C7:4(C8.2D4)	448,701
C₇⋊₅(C₈.₂D₄) = C₅₆.₃₇D₄	φ: C₈.₂D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224		C7:5(C8.2D4)	448,724

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