Extensions 1→N→G→Q→1 with N=C₁₀₈ and Q=C₂

Direct product G=N×Q with N=C₁₀₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₀₈		216		C2xC108	216,9

Semidirect products G=N:Q with N=C₁₀₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈⋊₁C₂ = D₁₀₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	108	2+	C108:1C2	216,6
C₁₀₈⋊₂C₂ = C₄×D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	108	2	C108:2C2	216,5
C₁₀₈⋊₃C₂ = D₄×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	108	2	C108:3C2	216,10

Non-split extensions G=N.Q with N=C₁₀₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈.₁C₂ = Dic₅₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	216	2-	C108.1C2	216,4
C₁₀₈.₂C₂ = C₂₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	216	2	C108.2C2	216,1
C₁₀₈.₃C₂ = Q₈×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀₈	216	2	C108.3C2	216,11

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C108 and Q=C2