Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅xQ₈

Direct product G=NxQ with N=C₂³ and Q=C₅xQ₈

		d	ρ	Label	ID
Q₈xC₂²xC₁₀		320		Q8xC2^2xC10	320,1630

Semidirect products G=N:Q with N=C₂³ and Q=C₅xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:₁(C₅xQ₈) = C₅xC₂³:Q₈	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3:1(C5xQ8)	320,894
C₂³:₂(C₅xQ₈) = C₅xC₂³:₂Q₈	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	80		C2^3:2(C5xQ8)	320,1545
C₂³:₃(C₅xQ₈) = C₁₀xC₂²:Q₈	φ: C₅xQ₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3:3(C5xQ8)	320,1525

Non-split extensions G=N.Q with N=C₂³ and Q=C₅xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₅xQ₈) = C₅xC₄.₁₀C₄²	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	80	4	C2^3.1(C5xQ8)	320,143
C₂³.₂(C₅xQ₈) = C₅xC₂³.₉D₄	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	80		C2^3.2(C5xQ8)	320,147
C₂³.₃(C₅xQ₈) = C₅xC₂³.Q₈	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.3(C5xQ8)	320,897
C₂³.₄(C₅xQ₈) = C₅xC₂³.₄Q₈	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	160		C2^3.4(C5xQ8)	320,900
C₂³.₅(C₅xQ₈) = C₅xM₄(2).C₄	φ: C₅xQ₈/C₁₀ → C₂² ⊆ Aut C₂³	80	4	C2^3.5(C5xQ8)	320,931
C₂³.₆(C₅xQ₈) = C₅xC₄.C₄²	φ: C₅xQ₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.6(C5xQ8)	320,146
C₂³.₇(C₅xQ₈) = C₅xC₂³.₇Q₈	φ: C₅xQ₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.7(C5xQ8)	320,881
C₂³.₈(C₅xQ₈) = C₅xC₂³.₈Q₈	φ: C₅xQ₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.8(C5xQ8)	320,886
C₂³.₉(C₅xQ₈) = C₁₀xC₈.C₄	φ: C₅xQ₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.9(C5xQ8)	320,930
C₂³.₁₀(C₅xQ₈) = C₁₀xC₂.C₄²	central extension (φ=1)	320		C2^3.10(C5xQ8)	320,876
C₂³.₁₁(C₅xQ₈) = C₄:C₄xC₂xC₁₀	central extension (φ=1)	320		C2^3.11(C5xQ8)	320,1515

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