Extensions 1→N→G→Q→1 with N=C₂₃₆ and Q=C₂

Direct product G=N×Q with N=C₂₃₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₃₆		472		C2xC236	472,8

Semidirect products G=N:Q with N=C₂₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₃₆⋊₁C₂ = D₂₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	236	2+	C236:1C2	472,5
C₂₃₆⋊₂C₂ = C₄×D₅₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	236	2	C236:2C2	472,4
C₂₃₆⋊₃C₂ = D₄×C₅₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	236	2	C236:3C2	472,9

Non-split extensions G=N.Q with N=C₂₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₃₆.₁C₂ = Dic₁₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	472	2-	C236.1C2	472,3
C₂₃₆.₂C₂ = C₅₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	472	2	C236.2C2	472,1
C₂₃₆.₃C₂ = Q₈×C₅₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂₃₆	472	2	C236.3C2	472,10

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C236 and Q=C2