Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=Dic₃⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Dic₃⋊C₄		480		C10xDic3:C4	480,802

Semidirect products G=N:Q with N=Dic₃⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₄⋊₁C₁₀ = C₅×C₄²⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:1C10	480,755
Dic₃⋊C₄⋊₂C₁₀ = C₅×C₁₂.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:2C10	480,803
Dic₃⋊C₄⋊₃C₁₀ = C₅×C₂³.₂₈D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:3C10	480,808
Dic₃⋊C₄⋊₄C₁₀ = C₅×Dic₃.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:4C10	480,757
Dic₃⋊C₄⋊₅C₁₀ = C₅×Dic₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:5C10	480,763
Dic₃⋊C₄⋊₆C₁₀ = C₅×D₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:6C10	480,773
Dic₃⋊C₄⋊₇C₁₀ = C₅×C₂³.₁₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:7C10	480,756
Dic₃⋊C₄⋊₈C₁₀ = C₅×C₂³.₈D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:8C10	480,758
Dic₃⋊C₄⋊₉C₁₀ = C₅×Dic₃⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:9C10	480,760
Dic₃⋊C₄⋊₁₀C₁₀ = C₅×C₂³.₉D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:10C10	480,762
Dic₃⋊C₄⋊₁₁C₁₀ = C₅×S₃×C₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:11C10	480,770
Dic₃⋊C₄⋊₁₂C₁₀ = C₅×D₆⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:12C10	480,775
Dic₃⋊C₄⋊₁₃C₁₀ = C₅×C₄⋊C₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:13C10	480,777
Dic₃⋊C₄⋊₁₄C₁₀ = C₅×C₂³.₂₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:14C10	480,814
Dic₃⋊C₄⋊₁₅C₁₀ = C₅×C₂³.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:15C10	480,818
Dic₃⋊C₄⋊₁₆C₁₀ = C₅×D₆⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240		Dic3:C4:16C10	480,825
Dic₃⋊C₄⋊₁₇C₁₀ = C₅×C₄²⋊₂S₃	φ: trivial image	240		Dic3:C4:17C10	480,751
Dic₃⋊C₄⋊₁₈C₁₀ = C₂₀×C₃⋊D₄	φ: trivial image	240		Dic3:C4:18C10	480,807

Non-split extensions G=N.Q with N=Dic₃⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₄.₁C₁₀ = C₅×C₁₂.₆Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.1C10	480,749
Dic₃⋊C₄.₂C₁₀ = C₅×C₁₂⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.2C10	480,767
Dic₃⋊C₄.₃C₁₀ = C₅×Dic₃.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.3C10	480,768
Dic₃⋊C₄.₄C₁₀ = C₅×C₄.Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.4C10	480,769
Dic₃⋊C₄.₅C₁₀ = C₅×Dic₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.5C10	480,766
Dic₃⋊C₄.₆C₁₀ = C₅×Dic₃⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480		Dic3:C4.6C10	480,823
Dic₃⋊C₄.₇C₁₀ = C₂₀×Dic₆	φ: trivial image	480		Dic3:C4.7C10	480,747

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