Extensions 1→N→G→Q→1 with N=C₂ and Q=Q₈×C₁₄

Direct product G=N×Q with N=C₂ and Q=Q₈×C₁₄

		d	ρ	Label	ID
Q₈×C₂×C₁₄		224		Q8xC2xC14	224,191

Non-split extensions G=N.Q with N=C₂ and Q=Q₈×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Q₈×C₁₄) = C₁₄×C₄⋊C₄	central extension (φ=1)	224		C2.1(Q8xC14)	224,151
C₂.₂(Q₈×C₁₄) = Q₈×C₂₈	central extension (φ=1)	224		C2.2(Q8xC14)	224,154
C₂.₃(Q₈×C₁₄) = C₇×C₂²⋊Q₈	central stem extension (φ=1)	112		C2.3(Q8xC14)	224,157
C₂.₄(Q₈×C₁₄) = C₇×C₄².C₂	central stem extension (φ=1)	224		C2.4(Q8xC14)	224,160
C₂.₅(Q₈×C₁₄) = C₇×C₄⋊Q₈	central stem extension (φ=1)	224		C2.5(Q8xC14)	224,163

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁