Extensions 1→N→G→Q→1 with N=D₄ and Q=C₁₈

Direct product G=N×Q with N=D₄ and Q=C₁₈

		d	ρ	Label	ID
D₄×C₁₈		72		D4xC18	144,48

Semidirect products G=N:Q with N=D₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₁₈ = C₉×D₈	φ: C₁₈/C₉ → C₂ ⊆ Out D₄	72	2	D4:C18	144,25
D₄⋊₂C₁₈ = C₉×C₄○D₄	φ: trivial image	72	2	D4:2C18	144,50

Non-split extensions G=N.Q with N=D₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₁₈ = C₉×SD₁₆	φ: C₁₈/C₉ → C₂ ⊆ Out D₄	72	2	D4.C18	144,26

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=C18