Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×C₁₈

Direct product G=N×Q with N=D₄ and Q=C₃×C₁₈

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=D₄ and Q=C₃×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×C₁₈) = D₈×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Out D₄	216		D4:(C3xC18)	432,215
D₄⋊₂(C₃×C₁₈) = C₄○D₄×C₃×C₉	φ: trivial image	216		D4:2(C3xC18)	432,409

Non-split extensions G=N.Q with N=D₄ and Q=C₃×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×C₁₈) = SD₁₆×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Out D₄	216		D4.(C3xC18)	432,218

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=C3×C18