Extensions 1→N→G→Q→1 with N=C₇:C₈ and Q=Q₈

Direct product G=NxQ with N=C₇:C₈ and Q=Q₈

		d	ρ	Label	ID
Q₈xC₇:C₈		448		Q8xC7:C8	448,557

Semidirect products G=N:Q with N=C₇:C₈ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:C₈:₁Q₈ = C₅₆:₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₇:C₈	448		C7:C8:1Q8	448,390
C₇:C₈:₂Q₈ = C₅₆:₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₇:C₈	448		C7:C8:2Q8	448,410
C₇:C₈:₃Q₈ = C₄².₆₈D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇:C₈	448		C7:C8:3Q8	448,599
C₇:C₈:₄Q₈ = C₄².₇₆D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₇:C₈	448		C7:C8:4Q8	448,614
C₇:C₈:₅Q₈ = C₅₆:₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:5Q8	448,389
C₇:C₈:₆Q₈ = C₅₆:₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:6Q8	448,408
C₇:C₈:₇Q₈ = C₂₈.₁₇D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:7Q8	448,612
C₇:C₈:₈Q₈ = C₂₈.SD₁₆	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:8Q8	448,613
C₇:C₈:₉Q₈ = C₄².₂₇D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:9Q8	448,362
C₇:C₈:₁₀Q₈ = C₂₈.M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:10Q8	448,365
C₇:C₈:₁₁Q₈ = C₄².₂₁₀D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8:11Q8	448,558
C₇:C₈:₁₂Q₈ = Dic₁₄:C₈	φ: trivial image	448		C7:C8:12Q8	448,364

Non-split extensions G=N.Q with N=C₇:C₈ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₇:C₈.₁Q₈ = C₅₆.₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8.1Q8	448,392
C₇:C₈.₂Q₈ = C₅₆.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8.2Q8	448,412
C₇:C₈.₃Q₈ = C₄².₂₁₅D₁₄	φ: Q₈/C₄ → C₂ ⊆ Out C₇:C₈	448		C7:C8.3Q8	448,598

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