Extensions 1→N→G→Q→1 with N=D₁₈ and Q=C₂²

Direct product G=N×Q with N=D₁₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₉		72		C2^3xD9	144,112

Semidirect products G=N:Q with N=D₁₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊₁C₂² = C₂×D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	72		D18:1C2^2	144,39
D₁₈⋊₂C₂² = D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	36	4+	D18:2C2^2	144,41
D₁₈⋊₃C₂² = C₂×C₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	72		D18:3C2^2	144,46

Non-split extensions G=N.Q with N=D₁₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.₁C₂² = D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	72	2	D18.1C2^2	144,40
D₁₈.₂C₂² = D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	72	4-	D18.2C2^2	144,42
D₁₈.₃C₂² = Q₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₁₈	72	4+	D18.3C2^2	144,44
D₁₈.₄C₂² = C₂×C₄×D₉	φ: trivial image	72		D18.4C2^2	144,38
D₁₈.₅C₂² = Q₈×D₉	φ: trivial image	72	4-	D18.5C2^2	144,43

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁