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

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

		d	ρ	Label	ID
C₂³×C₅⋊C₈		320		C2^3xC5:C8	320,1605

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈⋊₁C₂³ = C₂²×C₄.F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	160		C5:C8:1C2^3	320,1588
C₅⋊C₈⋊₂C₂³ = C₂×D₅⋊M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	80		C5:C8:2C2^3	320,1589
C₅⋊C₈⋊₃C₂³ = C₂²×C₂².F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	160		C5:C8:3C2^3	320,1606
C₅⋊C₈⋊₄C₂³ = C₂²×D₅⋊C₈	φ: trivial image	160		C5:C8:4C2^3	320,1587

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈.₁C₂³ = C₂×D₄.F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	160		C5:C8.1C2^3	320,1593
C₅⋊C₈.₂C₂³ = Dic₅.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	80	8-	C5:C8.2C2^3	320,1594
C₅⋊C₈.₃C₂³ = C₂×Q₈.F₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	160		C5:C8.3C2^3	320,1597
C₅⋊C₈.₄C₂³ = Dic₅.₂₀C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	80	8+	C5:C8.4C2^3	320,1598
C₅⋊C₈.₅C₂³ = Dic₅.₂₂C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊C₈	80	8	C5:C8.5C2^3	320,1602
C₅⋊C₈.₆C₂³ = Dic₅.₂₁C₂⁴	φ: trivial image	80	8	C5:C8.6C2^3	320,1601

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