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

Direct product G=N×Q with N=C₂³ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₂³×C₅⋊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) = C₂×C₂₀.₅₅D₄	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) = C₂×C₂₀.₄C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂³	160		C2^3.3(C5:2C8)	320,724
C₂³.₄(C₅⋊₂C₈) = C₂²×C₅⋊₂C₁₆	central extension (φ=1)	320		C2^3.4(C5:2C8)	320,723

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