Extensions 1→N→G→Q→1 with N=D₁₁₆ and Q=C₂

Direct product G=N×Q with N=D₁₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₁₆		232		C2xD116	464,37

Semidirect products G=N:Q with N=D₁₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₆⋊₁C₂ = D₂₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	232	2+	D116:1C2	464,7
D₁₁₆⋊₂C₂ = D₄⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	232	4+	D116:2C2	464,15
D₁₁₆⋊₃C₂ = D₄×D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	116	4+	D116:3C2	464,39
D₁₁₆⋊₄C₂ = Q₈⋊₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	232	4+	D116:4C2	464,42
D₁₁₆⋊₅C₂ = D₁₁₆⋊₅C₂	φ: trivial image	232	2	D116:5C2	464,38

Non-split extensions G=N.Q with N=D₁₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₆.₁C₂ = C₂₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	232	2	D116.1C2	464,6
D₁₁₆.₂C₂ = Q₈⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₆	232	4+	D116.2C2	464,17

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁