Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄.₅D₄

Direct product G=N×Q with N=C₇ and Q=D₄.₅D₄

		d	ρ	Label	ID
C₇×D₄.₅D₄		224	4	C7xD4.5D4	448,881

Semidirect products G=N:Q with N=C₇ and Q=D₄.₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄.₅D₄) = D₂₈.₇D₄	φ: D₄.₅D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₇	224	8-	C7:1(D4.5D4)	448,289
C₇⋊₂(D₄.₅D₄) = C₈.₂₀D₂₈	φ: D₄.₅D₄/C₈.C₄ → C₂ ⊆ Aut C₇	224	4-	C7:2(D4.5D4)	448,430
C₇⋊₃(D₄.₅D₄) = D₄.₅D₂₈	φ: D₄.₅D₄/C₈○D₄ → C₂ ⊆ Aut C₇	224	4-	C7:3(D4.5D4)	448,677
C₇⋊₄(D₄.₅D₄) = C₅₆.₂₉D₄	φ: D₄.₅D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224	4	C7:4(D4.5D4)	448,726
C₇⋊₅(D₄.₅D₄) = M₄(2).₁₆D₁₄	φ: D₄.₅D₄/C₈.C₂² → C₂ ⊆ Aut C₇	224	8-	C7:5(D4.5D4)	448,738

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