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

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

		d	ρ	Label	ID
Q₈×C₂²×C₁₄		448		Q8xC2^2xC14	448,1387

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Q₈×C₂×C₁₄) = C₄⋊C₄×C₂×C₁₄	central extension (φ=1)	448		C2.1(Q8xC2xC14)	448,1296
C₂.₂(Q₈×C₂×C₁₄) = Q₈×C₂×C₂₈	central extension (φ=1)	448		C2.2(Q8xC2xC14)	448,1299
C₂.₃(Q₈×C₂×C₁₄) = C₁₄×C₂²⋊Q₈	central stem extension (φ=1)	224		C2.3(Q8xC2xC14)	448,1306
C₂.₄(Q₈×C₂×C₁₄) = C₁₄×C₄².C₂	central stem extension (φ=1)	448		C2.4(Q8xC2xC14)	448,1310
C₂.₅(Q₈×C₂×C₁₄) = C₁₄×C₄⋊Q₈	central stem extension (φ=1)	448		C2.5(Q8xC2xC14)	448,1314
C₂.₆(Q₈×C₂×C₁₄) = C₇×C₂³.₃₇C₂³	central stem extension (φ=1)	224		C2.6(Q8xC2xC14)	448,1316
C₂.₇(Q₈×C₂×C₁₄) = C₇×C₂³⋊₂Q₈	central stem extension (φ=1)	112		C2.7(Q8xC2xC14)	448,1326
C₂.₈(Q₈×C₂×C₁₄) = C₇×C₂³.₄₁C₂³	central stem extension (φ=1)	224		C2.8(Q8xC2xC14)	448,1327
C₂.₉(Q₈×C₂×C₁₄) = C₇×D₄×Q₈	central stem extension (φ=1)	224		C2.9(Q8xC2xC14)	448,1332
C₂.₁₀(Q₈×C₂×C₁₄) = C₇×D₄⋊₃Q₈	central stem extension (φ=1)	224		C2.10(Q8xC2xC14)	448,1337
C₂.₁₁(Q₈×C₂×C₁₄) = C₇×Q₈⋊₃Q₈	central stem extension (φ=1)	448		C2.11(Q8xC2xC14)	448,1340
C₂.₁₂(Q₈×C₂×C₁₄) = C₇×Q₈²	central stem extension (φ=1)	448		C2.12(Q8xC2xC14)	448,1341

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁