Extensions 1→N→G→Q→1 with N=C₂ and Q=D₈₄

Direct product G=N×Q with N=C₂ and Q=D₈₄

		d	ρ	Label	ID
C₂×D₈₄		168		C2xD84	336,196

Non-split extensions G=N.Q with N=C₂ and Q=D₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁D₈₄ = C₈₄⋊C₄	central extension (φ=1)	336		C2.1D84	336,99
C₂.₂D₈₄ = C₂.D₈₄	central extension (φ=1)	168		C2.2D84	336,100
C₂.₃D₈₄ = C₈⋊D₂₁	central stem extension (φ=1)	168	2	C2.3D84	336,92
C₂.₄D₈₄ = D₁₆₈	central stem extension (φ=1)	168	2+	C2.4D84	336,93
C₂.₅D₈₄ = Dic₈₄	central stem extension (φ=1)	336	2-	C2.5D84	336,94

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁