Extensions 1→N→G→Q→1 with N=Dic₅ and Q=Dic₆

Direct product G=N×Q with N=Dic₅ and Q=Dic₆

		d	ρ	Label	ID
Dic₅×Dic₆		480		Dic5xDic6	480,408

Semidirect products G=N:Q with N=Dic₅ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁Dic₆ = Dic₃⋊Dic₁₀	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5:1Dic6	480,404
Dic₅⋊₂Dic₆ = Dic₁₅⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5:2Dic6	480,405
Dic₅⋊₃Dic₆ = Dic₅⋊Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:3Dic6	480,452
Dic₅⋊₄Dic₆ = C₆₀⋊Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:4Dic6	480,544
Dic₅⋊₅Dic₆ = Dic₅⋊₅Dic₆	φ: trivial image	480		Dic5:5Dic6	480,399
Dic₅⋊₆Dic₆ = Dic₃₀⋊₁₇C₄	φ: trivial image	480		Dic5:6Dic6	480,409

Non-split extensions G=N.Q with N=Dic₅ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁Dic₆ = Dic₅.₁Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5.1Dic6	480,410
Dic₅.₂Dic₆ = Dic₅.₂Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5.2Dic6	480,411
Dic₅.₃Dic₆ = Dic₅.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	120	8	Dic5.3Dic6	480,235
Dic₅.₄Dic₆ = Dic₅.₄Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	120	8	Dic5.4Dic6	480,236
Dic₅.₅Dic₆ = C₃₀.₄M₄(2)	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5.5Dic6	480,252
Dic₅.₆Dic₆ = Dic₁₅⋊C₈	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₅	480		Dic5.6Dic6	480,253
Dic₅.₇Dic₆ = Dic₅.₇Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.7Dic6	480,454
Dic₅.₈Dic₆ = C₁₂₀⋊C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.8Dic6	480,298
Dic₅.₉Dic₆ = D₅.D₂₄	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.9Dic6	480,299
Dic₅.₁₀Dic₆ = C₆₀⋊C₈	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.10Dic6	480,306
Dic₅.₁₁Dic₆ = Dic₅.₁₃D₁₂	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.11Dic6	480,309

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁