Extensions 1→N→G→Q→1 with N=C₃⋊Dic₃ and Q=C₁₀

Direct product G=N×Q with N=C₃⋊Dic₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₃⋊Dic₃		360		C10xC3:Dic3	360,108

Semidirect products G=N:Q with N=C₃⋊Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃⋊₁C₁₀ = C₅×S₃×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	120	4	C3:Dic3:1C10	360,72
C₃⋊Dic₃⋊₂C₁₀ = C₅×D₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	120	4	C3:Dic3:2C10	360,74
C₃⋊Dic₃⋊₃C₁₀ = C₅×C₃²⋊₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	180		C3:Dic3:3C10	360,109
C₃⋊Dic₃⋊₄C₁₀ = C₃⋊S₃×C₂₀	φ: trivial image	180		C3:Dic3:4C10	360,106

Non-split extensions G=N.Q with N=C₃⋊Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Dic₃.₁C₁₀ = C₅×C₃²⋊₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	120	4	C3:Dic3.1C10	360,55
C₃⋊Dic₃.₂C₁₀ = C₅×C₃²⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	120	4	C3:Dic3.2C10	360,76
C₃⋊Dic₃.₃C₁₀ = C₅×C₃²⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊Dic₃	360		C3:Dic3.3C10	360,105

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