Extensions 1→N→G→Q→1 with N=C₅⋊D₄ and Q=C₂³

Direct product G=N×Q with N=C₅⋊D₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₅⋊D₄		160		C2^3xC5:D4	320,1627

Semidirect products G=N:Q with N=C₅⋊D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄⋊₁C₂³ = C₂²×D₄×D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:1C2^3	320,1612
C₅⋊D₄⋊₂C₂³ = C₂²×D₄⋊₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	160		C5:D4:2C2^3	320,1613
C₅⋊D₄⋊₃C₂³ = C₂×D₄⋊₆D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:3C2^3	320,1614
C₅⋊D₄⋊₄C₂³ = C₂×D₅×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:4C2^3	320,1618
C₅⋊D₄⋊₅C₂³ = C₂×D₄⋊₈D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:5C2^3	320,1619
C₅⋊D₄⋊₆C₂³ = D₅×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	40	8+	C5:D4:6C2^3	320,1622
C₅⋊D₄⋊₇C₂³ = C₂²×C₄○D₂₀	φ: trivial image	160		C5:D4:7C2^3	320,1611

Non-split extensions G=N.Q with N=C₅⋊D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄.₁C₂³ = C₂×D₄.₁₀D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	160		C5:D4.1C2^3	320,1620
C₅⋊D₄.₂C₂³ = C₁₀.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80	4	C5:D4.2C2^3	320,1621
C₅⋊D₄.₃C₂³ = D₂₀.₃₇C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80	8-	C5:D4.3C2^3	320,1623
C₅⋊D₄.₄C₂³ = D₅×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80	8-	C5:D4.4C2^3	320,1624
C₅⋊D₄.₅C₂³ = D₂₀.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₅⋊D₄	80	8+	C5:D4.5C2^3	320,1625
C₅⋊D₄.₆C₂³ = C₂×Q₈.₁₀D₁₀	φ: trivial image	160		C5:D4.6C2^3	320,1617

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