Extensions 1→N→G→Q→1 with N=C₁₅₄ and Q=C₂

Direct product G=N×Q with N=C₁₅₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₅₄		308		C2xC154	308,9

Semidirect products G=N:Q with N=C₁₅₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₄⋊₁C₂ = D₁₅₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	154	2+	C154:1C2	308,8
C₁₅₄⋊₂C₂ = C₁₄×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	154	2	C154:2C2	308,6
C₁₅₄⋊₃C₂ = D₇×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	154	2	C154:3C2	308,7

Non-split extensions G=N.Q with N=C₁₅₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅₄.₁C₂ = Dic₇₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	308	2-	C154.1C2	308,3
C₁₅₄.₂C₂ = C₇×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	308	2	C154.2C2	308,2
C₁₅₄.₃C₂ = C₁₁×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₅₄	308	2	C154.3C2	308,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C154 and Q=C2