Extensions 1→N→G→Q→1 with N=C₃⋊D₂₀ and Q=C₄

Direct product G=N×Q with N=C₃⋊D₂₀ and Q=C₄

		d	ρ	Label	ID
C₄×C₃⋊D₂₀		240		C4xC3:D20	480,519

Semidirect products G=N:Q with N=C₃⋊D₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₂₀⋊₁C₄ = F₅×C₃⋊D₄	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊D₂₀	60	8	C3:D20:1C4	480,1010
C₃⋊D₂₀⋊₂C₄ = C₃⋊D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊D₂₀	60	8	C3:D20:2C4	480,1012
C₃⋊D₂₀⋊₃C₄ = Dic₃⋊₄D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240		C3:D20:3C4	480,471
C₃⋊D₂₀⋊₄C₄ = Dic₁₅⋊₁₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240		C3:D20:4C4	480,472
C₃⋊D₂₀⋊₅C₄ = C₁₅⋊₂₀(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240		C3:D20:5C4	480,520

Non-split extensions G=N.Q with N=C₃⋊D₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₂₀.₁C₄ = D₆₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊D₂₀	240	8+	C3:D20.1C4	480,990
C₃⋊D₂₀.₂C₄ = Dic₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃⋊D₂₀	240	8+	C3:D20.2C4	480,992
C₃⋊D₂₀.₃C₄ = C₄₀.₃₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240	4	C3:D20.3C4	480,342
C₃⋊D₂₀.₄C₄ = C₄₀.₅₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240	4	C3:D20.4C4	480,343
C₃⋊D₂₀.₅C₄ = C₄₀.₃₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃⋊D₂₀	240	4	C3:D20.5C4	480,344
C₃⋊D₂₀.₆C₄ = C₄₀.₅₄D₆	φ: trivial image	240	4	C3:D20.6C4	480,341

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