Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₂₀

Direct product G=N×Q with N=Dic₃ and Q=D₂₀

		d	ρ	Label	ID
Dic₃×D₂₀		240		Dic3xD20	480,501

Semidirect products G=N:Q with N=Dic₃ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₂₀ = C₁₂⋊D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:1D20	480,534
Dic₃⋊₂D₂₀ = Dic₃⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:2D20	480,485
Dic₃⋊₃D₂₀ = D₃₀⋊₂D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3D20	480,535
Dic₃⋊₄D₂₀ = Dic₃⋊₄D₂₀	φ: trivial image	240		Dic3:4D20	480,471
Dic₃⋊₅D₂₀ = D₆₀⋊₁₄C₄	φ: trivial image	240		Dic3:5D20	480,504

Non-split extensions G=N.Q with N=Dic₃ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₂₀ = S₃×C₄₀⋊C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.1D20	480,327
Dic₃.₂D₂₀ = S₃×D₄₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	120	4+	Dic3.2D20	480,328
Dic₃.₃D₂₀ = S₃×Dic₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240	4-	Dic3.3D20	480,338
Dic₃.₄D₂₀ = Dic₃.D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3.4D20	480,429
Dic₃.₅D₂₀ = C₂₀⋊₄Dic₆	φ: D₂₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.5D20	480,545
Dic₃.₆D₂₀ = C₄₀⋊₁D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	120	4+	Dic3.6D20	480,329
Dic₃.₇D₂₀ = D₄₀⋊S₃	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.7D20	480,330
Dic₃.₈D₂₀ = Dic₂₀⋊S₃	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.8D20	480,339
Dic₃.₉D₂₀ = C₄₀.₂D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240	4-	Dic3.9D20	480,350
Dic₃.₁₀D₂₀ = D₁₀⋊₂Dic₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.10D20	480,498
Dic₃.₁₁D₂₀ = D₃₀⋊₄Q₈	φ: D₂₀/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.11D20	480,505
Dic₃.₁₂D₂₀ = D₆.₁D₂₀	φ: trivial image	240	4	Dic3.12D20	480,348
Dic₃.₁₃D₂₀ = D₄₀⋊₇S₃	φ: trivial image	240	4-	Dic3.13D20	480,349
Dic₃.₁₄D₂₀ = D₁₂₀⋊₅C₂	φ: trivial image	240	4+	Dic3.14D20	480,351

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