Extensions 1→N→G→Q→1 with N=C₁₁₄ and Q=C₂

Direct product G=N×Q with N=C₁₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₁₄		228		C2xC114	228,15

Semidirect products G=N:Q with N=C₁₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₄⋊₁C₂ = D₁₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	114	2+	C114:1C2	228,14
C₁₁₄⋊₂C₂ = C₆×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	114	2	C114:2C2	228,12
C₁₁₄⋊₃C₂ = S₃×C₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	114	2	C114:3C2	228,13

Non-split extensions G=N.Q with N=C₁₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₄.₁C₂ = Dic₅₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	228	2-	C114.1C2	228,5
C₁₁₄.₂C₂ = C₃×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	228	2	C114.2C2	228,4
C₁₁₄.₃C₂ = Dic₃×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₁₄	228	2	C114.3C2	228,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C114 and Q=C2