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

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

		d	ρ	Label	ID
D₄×C₂²×C₁₄		224		D4xC2^2xC14	448,1386

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

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂×C₁₄)⋊₁C₂ = (C₂×C₁₄)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):1C2	448,751
(D₄×C₂×C₁₄)⋊₂C₂ = C₂²×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):2C2	448,1245
(D₄×C₂×C₁₄)⋊₃C₂ = C₂×D₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):3C2	448,1246
(D₄×C₂×C₁₄)⋊₄C₂ = C₂×C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):4C2	448,1253
(D₄×C₂×C₁₄)⋊₅C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):5C2	448,1254
(D₄×C₂×C₁₄)⋊₆C₂ = C₂×C₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):6C2	448,1256
(D₄×C₂×C₁₄)⋊₇C₂ = C₂⁴.₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):7C2	448,1258
(D₄×C₂×C₁₄)⋊₈C₂ = C₂⁴.₄₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):8C2	448,1259
(D₄×C₂×C₁₄)⋊₉C₂ = C₂²×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):9C2	448,1369
(D₄×C₂×C₁₄)⋊₁₀C₂ = C₂²×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):10C2	448,1370
(D₄×C₂×C₁₄)⋊₁₁C₂ = C₂×D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):11C2	448,1371
(D₄×C₂×C₁₄)⋊₁₂C₂ = C₂⁴.₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):12C2	448,757
(D₄×C₂×C₁₄)⋊₁₃C₂ = C₇×C₂³⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):13C2	448,800
(D₄×C₂×C₁₄)⋊₁₄C₂ = C₇×C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):14C2	448,855
(D₄×C₂×C₁₄)⋊₁₅C₂ = C₂×C₂³⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):15C2	448,1252
(D₄×C₂×C₁₄)⋊₁₆C₂ = C₂×Dic₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):16C2	448,1255
(D₄×C₂×C₁₄)⋊₁₇C₂ = C₂⁴⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):17C2	448,1257
(D₄×C₂×C₁₄)⋊₁₈C₂ = C₁₄×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):18C2	448,1304
(D₄×C₂×C₁₄)⋊₁₉C₂ = C₁₄×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):19C2	448,1305
(D₄×C₂×C₁₄)⋊₂₀C₂ = C₁₄×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):20C2	448,1313
(D₄×C₂×C₁₄)⋊₂₁C₂ = C₇×C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):21C2	448,1317
(D₄×C₂×C₁₄)⋊₂₂C₂ = C₇×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):22C2	448,1318
(D₄×C₂×C₁₄)⋊₂₃C₂ = C₇×D₄²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):23C2	448,1328
(D₄×C₂×C₁₄)⋊₂₄C₂ = C₇×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):24C2	448,1329
(D₄×C₂×C₁₄)⋊₂₅C₂ = D₈×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14):25C2	448,1352
(D₄×C₂×C₁₄)⋊₂₆C₂ = C₁₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):26C2	448,1356
(D₄×C₂×C₁₄)⋊₂₇C₂ = C₁₄×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14):27C2	448,1389
(D₄×C₂×C₁₄)⋊₂₈C₂ = C₄○D₄×C₂×C₁₄	φ: trivial image	224	(D4xC2xC14):28C2	448,1388

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

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂×C₁₄).₁C₂ = C₂×D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).1C2	448,748
(D₄×C₂×C₁₄).₂C₂ = (D₄×C₁₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).2C2	448,749
(D₄×C₂×C₁₄).₃C₂ = C₂×C₂₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).3C2	448,750
(D₄×C₂×C₁₄).₄C₂ = (C₇×D₄).₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).4C2	448,752
(D₄×C₂×C₁₄).₅C₂ = C₂⁴.₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).5C2	448,755
(D₄×C₂×C₁₄).₆C₂ = C₂²×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).6C2	448,1247
(D₄×C₂×C₁₄).₇C₂ = C₂×D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).7C2	448,1248
(D₄×C₂×C₁₄).₈C₂ = C₂×C₂₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).8C2	448,1250
(D₄×C₂×C₁₄).₉C₂ = C₂⁴.₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).9C2	448,1251
(D₄×C₂×C₁₄).₁₀C₂ = C₂×C₂³⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).10C2	448,753
(D₄×C₂×C₁₄).₁₁C₂ = C₂⁴.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).11C2	448,754
(D₄×C₂×C₁₄).₁₂C₂ = C₂⁴.₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).12C2	448,756
(D₄×C₂×C₁₄).₁₃C₂ = C₇×C₂³.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).13C2	448,794
(D₄×C₂×C₁₄).₁₄C₂ = C₇×C₂⁴.₃C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).14C2	448,798
(D₄×C₂×C₁₄).₁₅C₂ = C₇×C₂³.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).15C2	448,802
(D₄×C₂×C₁₄).₁₆C₂ = C₁₄×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).16C2	448,817
(D₄×C₂×C₁₄).₁₇C₂ = C₁₄×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).17C2	448,819
(D₄×C₂×C₁₄).₁₈C₂ = C₁₄×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).18C2	448,822
(D₄×C₂×C₁₄).₁₉C₂ = C₇×C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).19C2	448,826
(D₄×C₂×C₁₄).₂₀C₂ = C₇×C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).20C2	448,858
(D₄×C₂×C₁₄).₂₁C₂ = C₂×C₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).21C2	448,1249
(D₄×C₂×C₁₄).₂₂C₂ = C₇×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	112	(D4xC2xC14).22C2	448,1301
(D₄×C₂×C₁₄).₂₃C₂ = C₁₄×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).23C2	448,1307
(D₄×C₂×C₁₄).₂₄C₂ = C₁₄×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).24C2	448,1309
(D₄×C₂×C₁₄).₂₅C₂ = SD₁₆×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂×C₁₄	224	(D4xC2xC14).25C2	448,1353
(D₄×C₂×C₁₄).₂₆C₂ = D₄×C₂×C₂₈	φ: trivial image	224	(D4xC2xC14).26C2	448,1298

⋊

ℤ

𝔽

○

≀

ℚ

◁

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

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