Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅:₂C₈

Direct product G=NxQ with N=C₂³ and Q=C₅:₂C₈

		d	ρ	Label	ID
C₂³xC₅:₂C₈		320		C2^3xC5:2C8	320,1452

Semidirect products G=N:Q with N=C₂³ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₅:₂C₈) = C₂⁴.Dic₅	φ: C₅:₂C₈/C₁₀ → C₄ ⊆ Aut C₂³	80		C2^3:(C5:2C8)	320,83
C₂³:₂(C₅:₂C₈) = C₂xC₂₀.₅₅D₄	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3:2(C5:2C8)	320,833

Non-split extensions G=N.Q with N=C₂³ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₅:₂C₈) = C₄₀.D₄	φ: C₅:₂C₈/C₁₀ → C₄ ⊆ Aut C₂³	80	4	C2^3.(C5:2C8)	320,111
C₂³.₂(C₅:₂C₈) = C₄₀.₉₁D₄	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.2(C5:2C8)	320,107
C₂³.₃(C₅:₂C₈) = C₂xC₂₀.₄C₈	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.3(C5:2C8)	320,724
C₂³.₄(C₅:₂C₈) = C₂²xC₅:₂C₁₆	central extension (φ=1)	320		C2^3.4(C5:2C8)	320,723

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