Extensions 1→N→G→Q→1 with N=C₁₄×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₁₄×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₁₄×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×C₄○D₄)⋊₁C₂ = (C₇×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):1C2	448,772
(C₁₄×C₄○D₄)⋊₂C₂ = C₂×D₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):2C2	448,1273
(C₁₄×C₄○D₄)⋊₃C₂ = C₂×D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):3C2	448,1274
(C₁₄×C₄○D₄)⋊₄C₂ = C₂₈.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4):4C2	448,1275
(C₁₄×C₄○D₄)⋊₅C₂ = C₁₄.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):5C2	448,1277
(C₁₄×C₄○D₄)⋊₆C₂ = (C₂×C₂₈)⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):6C2	448,1281
(C₁₄×C₄○D₄)⋊₇C₂ = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):7C2	448,1282
(C₁₄×C₄○D₄)⋊₈C₂ = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):8C2	448,1283
(C₁₄×C₄○D₄)⋊₉C₂ = C₁₄.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):9C2	448,1284
(C₁₄×C₄○D₄)⋊₁₀C₂ = (C₂×C₂₈)⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):10C2	448,1285
(C₁₄×C₄○D₄)⋊₁₁C₂ = C₁₄.₁₀₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):11C2	448,1286
(C₁₄×C₄○D₄)⋊₁₂C₂ = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):12C2	448,1287
(C₁₄×C₄○D₄)⋊₁₃C₂ = C₂×D₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):13C2	448,1375
(C₁₄×C₄○D₄)⋊₁₄C₂ = C₂×D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):14C2	448,1376
(C₁₄×C₄○D₄)⋊₁₅C₂ = C₂×D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):15C2	448,1377
(C₁₄×C₄○D₄)⋊₁₆C₂ = C₁₄.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4):16C2	448,1378
(C₁₄×C₄○D₄)⋊₁₇C₂ = C₇×D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):17C2	448,857
(C₁₄×C₄○D₄)⋊₁₈C₂ = C₇×C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):18C2	448,1308
(C₁₄×C₄○D₄)⋊₁₉C₂ = C₇×C₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):19C2	448,1315
(C₁₄×C₄○D₄)⋊₂₀C₂ = C₇×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):20C2	448,1318
(C₁₄×C₄○D₄)⋊₂₁C₂ = C₇×C₂².₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):21C2	448,1320
(C₁₄×C₄○D₄)⋊₂₂C₂ = C₇×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):22C2	448,1329
(C₁₄×C₄○D₄)⋊₂₃C₂ = C₇×D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):23C2	448,1330
(C₁₄×C₄○D₄)⋊₂₄C₂ = C₇×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):24C2	448,1331
(C₁₄×C₄○D₄)⋊₂₅C₂ = C₇×Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):25C2	448,1333
(C₁₄×C₄○D₄)⋊₂₆C₂ = C₁₄×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):26C2	448,1355
(C₁₄×C₄○D₄)⋊₂₇C₂ = C₁₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):27C2	448,1356
(C₁₄×C₄○D₄)⋊₂₈C₂ = C₇×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4):28C2	448,1358
(C₁₄×C₄○D₄)⋊₂₉C₂ = C₁₄×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4):29C2	448,1389
(C₁₄×C₄○D₄)⋊₃₀C₂ = C₁₄×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4):30C2	448,1390
(C₁₄×C₄○D₄)⋊₃₁C₂ = C₇×C₂.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4):31C2	448,1391

Non-split extensions G=N.Q with N=C₁₄×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×C₄○D₄).₁C₂ = C₄○D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).1C2	448,766
(C₁₄×C₄○D₄).₂C₂ = C₂₈.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).2C2	448,767
(C₁₄×C₄○D₄).₃C₂ = (D₄×C₁₄).₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).3C2	448,768
(C₁₄×C₄○D₄).₄C₂ = C₂×D₄⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4).4C2	448,769
(C₁₄×C₄○D₄).₅C₂ = (D₄×C₁₄)⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).5C2	448,770
(C₁₄×C₄○D₄).₆C₂ = (D₄×C₁₄).₁₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).6C2	448,771
(C₁₄×C₄○D₄).₇C₂ = (C₇×D₄).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).7C2	448,773
(C₁₄×C₄○D₄).₈C₂ = (D₄×C₁₄)⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).8C2	448,774
(C₁₄×C₄○D₄).₉C₂ = C₂×Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).9C2	448,1271
(C₁₄×C₄○D₄).₁₀C₂ = C₂₈.₇₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).10C2	448,1272
(C₁₄×C₄○D₄).₁₁C₂ = C₂×D₄.₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).11C2	448,1276
(C₁₄×C₄○D₄).₁₂C₂ = C₁₄.₁₀₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).12C2	448,1278
(C₁₄×C₄○D₄).₁₃C₂ = C₄○D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).13C2	448,1279
(C₁₄×C₄○D₄).₁₄C₂ = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).14C2	448,1280
(C₁₄×C₄○D₄).₁₅C₂ = C₇×(C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).15C2	448,816
(C₁₄×C₄○D₄).₁₆C₂ = C₇×C₂³.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).16C2	448,818
(C₁₄×C₄○D₄).₁₇C₂ = C₇×M₄(2).₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).17C2	448,821
(C₁₄×C₄○D₄).₁₈C₂ = C₇×C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).18C2	448,824
(C₁₄×C₄○D₄).₁₉C₂ = C₇×C₂³.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).19C2	448,825
(C₁₄×C₄○D₄).₂₀C₂ = C₁₄×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112		(C14xC4oD4).20C2	448,828
(C₁₄×C₄○D₄).₂₁C₂ = C₇×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).21C2	448,829
(C₁₄×C₄○D₄).₂₂C₂ = C₇×D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).22C2	448,860
(C₁₄×C₄○D₄).₂₃C₂ = C₇×C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).23C2	448,1303
(C₁₄×C₄○D₄).₂₄C₂ = C₇×C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).24C2	448,1319
(C₁₄×C₄○D₄).₂₅C₂ = C₇×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	112	4	(C14xC4oD4).25C2	448,1351
(C₁₄×C₄○D₄).₂₆C₂ = C₁₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×C₄○D₄	224		(C14xC4oD4).26C2	448,1357
(C₁₄×C₄○D₄).₂₇C₂ = C₄○D₄×C₂₈	φ: trivial image	224		(C14xC4oD4).27C2	448,1300
(C₁₄×C₄○D₄).₂₈C₂ = C₁₄×C₈○D₄	φ: trivial image	224		(C14xC4oD4).28C2	448,1350

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Extensions 1→N→G→Q→1 with N=C14×C4○D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₄×C₄○D₄ and Q=C₂