Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂⁵

Direct product G=N×Q with N=C₁₄ and Q=C₂⁵

		d	ρ	Label	ID
C₂⁵×C₁₄		448		C2^5xC14	448,1396

Semidirect products G=N:Q with N=C₁₄ and Q=C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₂⁵ = D₇×C₂⁵	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14:C2^5	448,1395

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁C₂⁵ = C₂³×Dic₁₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	448		C14.1C2^5	448,1365
C₁₄.₂C₂⁵ = D₇×C₂³×C₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.2C2^5	448,1366
C₁₄.₃C₂⁵ = C₂³×D₂₈	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.3C2^5	448,1367
C₁₄.₄C₂⁵ = C₂²×C₄○D₂₈	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.4C2^5	448,1368
C₁₄.₅C₂⁵ = C₂²×D₄×D₇	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112		C14.5C2^5	448,1369
C₁₄.₆C₂⁵ = C₂²×D₄⋊₂D₇	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.6C2^5	448,1370
C₁₄.₇C₂⁵ = C₂×D₄⋊₆D₁₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112		C14.7C2^5	448,1371
C₁₄.₈C₂⁵ = C₂²×Q₈×D₇	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.8C2^5	448,1372
C₁₄.₉C₂⁵ = C₂²×Q₈⋊₂D₇	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.9C2^5	448,1373
C₁₄.₁₀C₂⁵ = C₂×Q₈.₁₀D₁₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.10C2^5	448,1374
C₁₄.₁₁C₂⁵ = C₂×D₇×C₄○D₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112		C14.11C2^5	448,1375
C₁₄.₁₂C₂⁵ = C₂×D₄⋊₈D₁₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112		C14.12C2^5	448,1376
C₁₄.₁₃C₂⁵ = C₂×D₄.₁₀D₁₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.13C2^5	448,1377
C₁₄.₁₄C₂⁵ = C₁₄.C₂⁵	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112	4	C14.14C2^5	448,1378
C₁₄.₁₅C₂⁵ = D₇×2₊¹⁺⁴	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	56	8+	C14.15C2^5	448,1379
C₁₄.₁₆C₂⁵ = D₁₄.C₂⁴	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112	8-	C14.16C2^5	448,1380
C₁₄.₁₇C₂⁵ = D₇×2_-¹⁺⁴	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112	8-	C14.17C2^5	448,1381
C₁₄.₁₈C₂⁵ = D₂₈.₃₉C₂³	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	112	8+	C14.18C2^5	448,1382
C₁₄.₁₉C₂⁵ = C₂⁴×Dic₇	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	448		C14.19C2^5	448,1383
C₁₄.₂₀C₂⁵ = C₂³×C₇⋊D₄	φ: C₂⁵/C₂⁴ → C₂ ⊆ Aut C₁₄	224		C14.20C2^5	448,1384
C₁₄.₂₁C₂⁵ = D₄×C₂²×C₁₄	central extension (φ=1)	224		C14.21C2^5	448,1386
C₁₄.₂₂C₂⁵ = Q₈×C₂²×C₁₄	central extension (φ=1)	448		C14.22C2^5	448,1387
C₁₄.₂₃C₂⁵ = C₄○D₄×C₂×C₁₄	central extension (φ=1)	224		C14.23C2^5	448,1388
C₁₄.₂₄C₂⁵ = C₁₄×2₊¹⁺⁴	central extension (φ=1)	112		C14.24C2^5	448,1389
C₁₄.₂₅C₂⁵ = C₁₄×2_-¹⁺⁴	central extension (φ=1)	224		C14.25C2^5	448,1390
C₁₄.₂₆C₂⁵ = C₇×C₂.C₂⁵	central extension (φ=1)	112	4	C14.26C2^5	448,1391

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C14 and Q=C25

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂⁵