Extensions 1→N→G→Q→1 with N=Dic₁₉ and Q=C₆

Direct product G=N×Q with N=Dic₁₉ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₉		456		C6xDic19	456,27

Semidirect products G=N:Q with N=Dic₁₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₉⋊C₆ = D₃₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₉	76	6	Dic19:C6	456,11
Dic₁₉⋊₂C₆ = C₄×C₁₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₉	76	6	Dic19:2C6	456,8
Dic₁₉⋊₃C₆ = C₂×C₁₉⋊C₁₂	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₉	152		Dic19:3C6	456,10
Dic₁₉⋊₄C₆ = C₃×C₁₉⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₉	228	2	Dic19:4C6	456,28
Dic₁₉⋊₅C₆ = C₁₂×D₁₉	φ: trivial image	228	2	Dic19:5C6	456,25

Non-split extensions G=N.Q with N=Dic₁₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₉.C₆ = Dic₃₈⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₉	152	6-	Dic19.C6	456,7
Dic₁₉.₂C₆ = C₃×Dic₃₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₉	456	2	Dic19.2C6	456,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁