Extensions 1→N→G→Q→1 with N=C₁₁₆ and Q=C₂

Direct product G=N×Q with N=C₁₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₁₆		232		C2xC116	232,9

Semidirect products G=N:Q with N=C₁₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆⋊₁C₂ = D₁₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	116	2+	C116:1C2	232,6
C₁₁₆⋊₂C₂ = C₄×D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	116	2	C116:2C2	232,5
C₁₁₆⋊₃C₂ = D₄×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	116	2	C116:3C2	232,10

Non-split extensions G=N.Q with N=C₁₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₆.₁C₂ = Dic₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	232	2-	C116.1C2	232,4
C₁₁₆.₂C₂ = C₂₉⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	232	2	C116.2C2	232,1
C₁₁₆.₃C₂ = Q₈×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₆	232	2	C116.3C2	232,11

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C116 and Q=C2