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

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

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

Semidirect products G=N:Q with N=Q₈×C₂×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(Q₈×C₂×C₁₄)⋊₁C₂ = (C₇×Q₈)⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):1C2	448,761
(Q₈×C₂×C₁₄)⋊₂C₂ = C₂²×Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):2C2	448,1260
(Q₈×C₂×C₁₄)⋊₃C₂ = C₂×C₂₈.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):3C2	448,1261
(Q₈×C₂×C₁₄)⋊₄C₂ = C₂×D₁₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):4C2	448,1266
(Q₈×C₂×C₁₄)⋊₅C₂ = C₂×C₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):5C2	448,1267
(Q₈×C₂×C₁₄)⋊₆C₂ = Q₈×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):6C2	448,1268
(Q₈×C₂×C₁₄)⋊₇C₂ = C₁₄.₄₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):7C2	448,1269
(Q₈×C₂×C₁₄)⋊₈C₂ = C₁₄.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):8C2	448,1270
(Q₈×C₂×C₁₄)⋊₉C₂ = C₂²×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):9C2	448,1372
(Q₈×C₂×C₁₄)⋊₁₀C₂ = C₂²×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):10C2	448,1373
(Q₈×C₂×C₁₄)⋊₁₁C₂ = C₂×Q₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):11C2	448,1374
(Q₈×C₂×C₁₄)⋊₁₂C₂ = (C₂²×Q₈)⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):12C2	448,765
(Q₈×C₂×C₁₄)⋊₁₃C₂ = C₇×C₂³⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):13C2	448,801
(Q₈×C₂×C₁₄)⋊₁₄C₂ = C₇×Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):14C2	448,856
(Q₈×C₂×C₁₄)⋊₁₅C₂ = C₁₄×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):15C2	448,1306
(Q₈×C₂×C₁₄)⋊₁₆C₂ = C₁₄×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):16C2	448,1309
(Q₈×C₂×C₁₄)⋊₁₇C₂ = C₇×C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):17C2	448,1319
(Q₈×C₂×C₁₄)⋊₁₈C₂ = C₇×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):18C2	448,1331
(Q₈×C₂×C₁₄)⋊₁₉C₂ = C₇×D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):19C2	448,1332
(Q₈×C₂×C₁₄)⋊₂₀C₂ = SD₁₆×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):20C2	448,1353
(Q₈×C₂×C₁₄)⋊₂₁C₂ = C₁₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):21C2	448,1357
(Q₈×C₂×C₁₄)⋊₂₂C₂ = C₁₄×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14):22C2	448,1390
(Q₈×C₂×C₁₄)⋊₂₃C₂ = C₄○D₄×C₂×C₁₄	φ: trivial image	224	(Q8xC2xC14):23C2	448,1388

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

extension	φ:Q→Out N	d	Label	ID
(Q₈×C₂×C₁₄).₁C₂ = C₂×Q₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).1C2	448,758
(Q₈×C₂×C₁₄).₂C₂ = (Q₈×C₁₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).2C2	448,759
(Q₈×C₂×C₁₄).₃C₂ = C₂×C₂₈.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).3C2	448,760
(Q₈×C₂×C₁₄).₄C₂ = (C₂×C₁₄)⋊₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).4C2	448,762
(Q₈×C₂×C₁₄).₅C₂ = (Q₈×C₁₄)⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).5C2	448,764
(Q₈×C₂×C₁₄).₆C₂ = C₂²×C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).6C2	448,1262
(Q₈×C₂×C₁₄).₇C₂ = C₂×Dic₇⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).7C2	448,1263
(Q₈×C₂×C₁₄).₈C₂ = C₂×Q₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).8C2	448,1264
(Q₈×C₂×C₁₄).₉C₂ = C₁₄.₄₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).9C2	448,1265
(Q₈×C₂×C₁₄).₁₀C₂ = C₁₄.C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).10C2	448,763
(Q₈×C₂×C₁₄).₁₁C₂ = C₇×C₂³.₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).11C2	448,799
(Q₈×C₂×C₁₄).₁₂C₂ = C₇×C₂³.₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).12C2	448,803
(Q₈×C₂×C₁₄).₁₃C₂ = C₁₄×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).13C2	448,820
(Q₈×C₂×C₁₄).₁₄C₂ = C₁₄×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).14C2	448,823
(Q₈×C₂×C₁₄).₁₅C₂ = C₇×C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).15C2	448,827
(Q₈×C₂×C₁₄).₁₆C₂ = C₇×C₂²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).16C2	448,859
(Q₈×C₂×C₁₄).₁₇C₂ = C₇×C₂³.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	224	(Q8xC2xC14).17C2	448,1302
(Q₈×C₂×C₁₄).₁₈C₂ = C₁₄×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).18C2	448,1314
(Q₈×C₂×C₁₄).₁₉C₂ = Q₁₆×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂×C₁₄	448	(Q8xC2xC14).19C2	448,1354
(Q₈×C₂×C₁₄).₂₀C₂ = Q₈×C₂×C₂₈	φ: trivial image	448	(Q8xC2xC14).20C2	448,1299

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

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