Extensions 1→N→G→Q→1 with N=C₂ and Q=D₁₁₂

Direct product G=N×Q with N=C₂ and Q=D₁₁₂

		d	ρ	Label	ID
C₂×D₁₁₂		224		C2xD112	448,436

Non-split extensions G=N.Q with N=C₂ and Q=D₁₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁D₁₁₂ = C₁₁₂⋊₅C₄	central extension (φ=1)	448		C2.1D112	448,61
C₂.₂D₁₁₂ = C₂.D₁₁₂	central extension (φ=1)	224		C2.2D112	448,66
C₂.₃D₁₁₂ = D₂₂₄	central stem extension (φ=1)	224	2+	C2.3D112	448,5
C₂.₄D₁₁₂ = C₂₂₄⋊C₂	central stem extension (φ=1)	224	2	C2.4D112	448,6
C₂.₅D₁₁₂ = Dic₁₁₂	central stem extension (φ=1)	448	2-	C2.5D112	448,7

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁