Extensions 1→N→G→Q→1 with N=C₉⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₉⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₉⋊Dic₃		216		C2xC9:Dic3	216,69

Semidirect products G=N:Q with N=C₉⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊Dic₃⋊₁C₂ = Dic₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	72	4-	C9:Dic3:1C2	216,27
C₉⋊Dic₃⋊₂C₂ = S₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	72	4-	C9:Dic3:2C2	216,30
C₉⋊Dic₃⋊₃C₂ = D₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	72	4-	C9:Dic3:3C2	216,31
C₉⋊Dic₃⋊₄C₂ = C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	108		C9:Dic3:4C2	216,70
C₉⋊Dic₃⋊₅C₂ = C₄×C₉⋊S₃	φ: trivial image	108		C9:Dic3:5C2	216,64

Non-split extensions G=N.Q with N=C₉⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊Dic₃.₁C₂ = C₉⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	72	4-	C9:Dic3.1C2	216,26
C₉⋊Dic₃.₂C₂ = C₁₂.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉⋊Dic₃	216		C9:Dic3.2C2	216,63

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁