Extensions 1→N→G→Q→1 with N=Dic₁₈ and Q=C₂

Direct product G=N×Q with N=Dic₁₈ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₁₈		144		C2xDic18	144,37

Semidirect products G=N:Q with N=Dic₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈⋊₁C₂ = C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	72	2	Dic18:1C2	144,7
Dic₁₈⋊₂C₂ = D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	72	4-	Dic18:2C2	144,15
Dic₁₈⋊₃C₂ = D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	72	4-	Dic18:3C2	144,42
Dic₁₈⋊₄C₂ = Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	72	4-	Dic18:4C2	144,43
Dic₁₈⋊₅C₂ = D₃₆⋊₅C₂	φ: trivial image	72	2	Dic18:5C2	144,40

Non-split extensions G=N.Q with N=Dic₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈.₁C₂ = Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	144	2-	Dic18.1C2	144,4
Dic₁₈.₂C₂ = C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₈	144	4-	Dic18.2C2	144,17

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁