Extensions 1→N→G→Q→1 with N=C₂³×C₁₄ and Q=C₂²

Direct product G=N×Q with N=C₂³×C₁₄ and Q=C₂²

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

Semidirect products G=N:Q with N=C₂³×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₄)⋊₁C₂² = C₇×C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	56	4	(C2^3xC14):1C2^2	448,865
(C₂³×C₁₄)⋊₂C₂² = C₁₄×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):2C2^2	448,1304
(C₂³×C₁₄)⋊₃C₂² = C₇×C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):3C2^2	448,1317
(C₂³×C₁₄)⋊₄C₂² = C₇×D₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):4C2^2	448,1328
(C₂³×C₁₄)⋊₅C₂² = C₇×C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):5C2^2	448,1344
(C₂³×C₁₄)⋊₆C₂² = C₁₄×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):6C2^2	448,1389
(C₂³×C₁₄)⋊₇C₂² = C₂⁴⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	56	4	(C2^3xC14):7C2^2	448,566
(C₂³×C₁₄)⋊₈C₂² = D₇×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	56		(C2^3xC14):8C2^2	448,1041
(C₂³×C₁₄)⋊₉C₂² = C₂⁴⋊₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):9C2^2	448,1042
(C₂³×C₁₄)⋊₁₀C₂² = C₂⁴⋊₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):10C2^2	448,1043
(C₂³×C₁₄)⋊₁₁C₂² = C₂⁴⋊₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):11C2^2	448,1047
(C₂³×C₁₄)⋊₁₂C₂² = C₂×C₂³⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):12C2^2	448,1252
(C₂³×C₁₄)⋊₁₃C₂² = D₄×C₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):13C2^2	448,1254
(C₂³×C₁₄)⋊₁₄C₂² = C₂⁴⋊₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):14C2^2	448,1257
(C₂³×C₁₄)⋊₁₅C₂² = C₂²×D₄×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):15C2^2	448,1369
(C₂³×C₁₄)⋊₁₆C₂² = C₂×D₄⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):16C2^2	448,1371
(C₂³×C₁₄)⋊₁₇C₂² = D₄×C₂²×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14):17C2^2	448,1386
(C₂³×C₁₄)⋊₁₈C₂² = C₂×C₂⁴⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):18C2^2	448,1293
(C₂³×C₁₄)⋊₁₉C₂² = C₂³×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14):19C2^2	448,1384
(C₂³×C₁₄)⋊₂₀C₂² = D₇×C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14):20C2^2	448,1395

Non-split extensions G=N.Q with N=C₂³×C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
(C₂³×C₁₄).₁C₂² = C₇×C₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).1C2^2	448,146
(C₂³×C₁₄).₂C₂² = C₇×C₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).2C2^2	448,796
(C₂³×C₁₄).₃C₂² = C₇×C₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).3C2^2	448,798
(C₂³×C₁₄).₄C₂² = C₇×C₂³⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).4C2^2	448,800
(C₂³×C₁₄).₅C₂² = C₇×C₂³⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).5C2^2	448,801
(C₂³×C₁₄).₆C₂² = C₇×C₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).6C2^2	448,802
(C₂³×C₁₄).₇C₂² = C₇×C₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).7C2^2	448,804
(C₂³×C₁₄).₈C₂² = C₇×C₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).8C2^2	448,805
(C₂³×C₁₄).₉C₂² = C₇×C₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).9C2^2	448,807
(C₂³×C₁₄).₁₀C₂² = C₁₄×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).10C2^2	448,817
(C₂³×C₁₄).₁₁C₂² = C₇×C₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).11C2^2	448,1301
(C₂³×C₁₄).₁₂C₂² = C₁₄×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).12C2^2	448,1305
(C₂³×C₁₄).₁₃C₂² = C₁₄×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).13C2^2	448,1309
(C₂³×C₁₄).₁₄C₂² = C₁₄×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).14C2^2	448,1311
(C₂³×C₁₄).₁₅C₂² = C₁₄×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).15C2^2	448,1313
(C₂³×C₁₄).₁₆C₂² = C₇×C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).16C2^2	448,1318
(C₂³×C₁₄).₁₇C₂² = C₇×C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).17C2^2	448,1321
(C₂³×C₁₄).₁₈C₂² = C₇×C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).18C2^2	448,1326
(C₂³×C₁₄).₁₉C₂² = C₇×D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).19C2^2	448,1329
(C₂³×C₁₄).₂₀C₂² = C₇×C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).20C2^2	448,1334
(C₂³×C₁₄).₂₁C₂² = C₇×C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).21C2^2	448,1343
(C₂³×C₁₄).₂₂C₂² = C₂⁴.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).22C2^2	448,83
(C₂³×C₁₄).₂₃C₂² = C₂⁴.₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).23C2^2	448,84
(C₂³×C₁₄).₂₄C₂² = C₂²⋊C₄×Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).24C2^2	448,475
(C₂³×C₁₄).₂₅C₂² = C₂⁴.₄₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).25C2^2	448,476
(C₂³×C₁₄).₂₆C₂² = C₂³.₄₂D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).26C2^2	448,477
(C₂³×C₁₄).₂₇C₂² = C₂⁴.₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).27C2^2	448,478
(C₂³×C₁₄).₂₈C₂² = C₂⁴.₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).28C2^2	448,479
(C₂³×C₁₄).₂₉C₂² = C₂⁴.₄₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).29C2^2	448,480
(C₂³×C₁₄).₃₀C₂² = C₂³⋊Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).30C2^2	448,481
(C₂³×C₁₄).₃₁C₂² = C₂⁴.₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).31C2^2	448,482
(C₂³×C₁₄).₃₂C₂² = C₂⁴.₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).32C2^2	448,483
(C₂³×C₁₄).₃₃C₂² = C₂⁴.₄₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).33C2^2	448,484
(C₂³×C₁₄).₃₄C₂² = C₂⁴.₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).34C2^2	448,485
(C₂³×C₁₄).₃₅C₂² = C₂⁴.₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).35C2^2	448,486
(C₂³×C₁₄).₃₆C₂² = C₂⁴.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).36C2^2	448,487
(C₂³×C₁₄).₃₇C₂² = C₂×C₂³.₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).37C2^2	448,488
(C₂³×C₁₄).₃₈C₂² = C₂³.₄₄D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).38C2^2	448,489
(C₂³×C₁₄).₃₉C₂² = C₂⁴.₁₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).39C2^2	448,490
(C₂³×C₁₄).₄₀C₂² = C₂⁴.₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).40C2^2	448,491
(C₂³×C₁₄).₄₁C₂² = C₂³.₄₅D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).41C2^2	448,492
(C₂³×C₁₄).₄₂C₂² = C₂⁴.₁₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).42C2^2	448,493
(C₂³×C₁₄).₄₃C₂² = C₂³⋊₂D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).43C2^2	448,494
(C₂³×C₁₄).₄₄C₂² = C₂³.₁₆D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).44C2^2	448,495
(C₂³×C₁₄).₄₅C₂² = C₂×C₂³⋊Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).45C2^2	448,753
(C₂³×C₁₄).₄₆C₂² = C₂⁴.₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).46C2^2	448,754
(C₂³×C₁₄).₄₇C₂² = C₂⁴.₁₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).47C2^2	448,755
(C₂³×C₁₄).₄₈C₂² = C₂⁴.₂₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).48C2^2	448,756
(C₂³×C₁₄).₄₉C₂² = C₂⁴.₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).49C2^2	448,757
(C₂³×C₁₄).₅₀C₂² = C₂×C₂³.₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).50C2^2	448,933
(C₂³×C₁₄).₅₁C₂² = C₂×C₂²⋊Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).51C2^2	448,934
(C₂³×C₁₄).₅₂C₂² = C₂×C₂³.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).52C2^2	448,935
(C₂³×C₁₄).₅₃C₂² = C₂³⋊₂Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).53C2^2	448,936
(C₂³×C₁₄).₅₄C₂² = C₂×D₇×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).54C2^2	448,937
(C₂³×C₁₄).₅₅C₂² = C₂×Dic₇⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).55C2^2	448,938
(C₂³×C₁₄).₅₆C₂² = C₂⁴.₂₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).56C2^2	448,939
(C₂³×C₁₄).₅₇C₂² = C₂×C₂²⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).57C2^2	448,940
(C₂³×C₁₄).₅₈C₂² = C₂×D₁₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).58C2^2	448,941
(C₂³×C₁₄).₅₉C₂² = C₂×D₁₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).59C2^2	448,942
(C₂³×C₁₄).₆₀C₂² = C₂⁴.₂₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).60C2^2	448,943
(C₂³×C₁₄).₆₁C₂² = C₂×Dic₇.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).61C2^2	448,944
(C₂³×C₁₄).₆₂C₂² = C₂×C₂².D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).62C2^2	448,945
(C₂³×C₁₄).₆₃C₂² = C₂³⋊₃D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).63C2^2	448,946
(C₂³×C₁₄).₆₄C₂² = C₂⁴.₃₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).64C2^2	448,947
(C₂³×C₁₄).₆₅C₂² = C₂⁴.₃₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).65C2^2	448,948
(C₂³×C₁₄).₆₆C₂² = C₂⁴.₅₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).66C2^2	448,1039
(C₂³×C₁₄).₆₇C₂² = C₂⁴.₃₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).67C2^2	448,1040
(C₂³×C₁₄).₆₈C₂² = C₂⁴.₃₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).68C2^2	448,1044
(C₂³×C₁₄).₆₉C₂² = C₂⁴.₃₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).69C2^2	448,1045
(C₂³×C₁₄).₇₀C₂² = C₂⁴.₃₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).70C2^2	448,1046
(C₂³×C₁₄).₇₁C₂² = C₂⁴.₃₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).71C2^2	448,1048
(C₂³×C₁₄).₇₂C₂² = C₂×D₄×Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).72C2^2	448,1248
(C₂³×C₁₄).₇₃C₂² = C₂×C₂³.₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).73C2^2	448,1249
(C₂³×C₁₄).₇₄C₂² = C₂×C₂₈.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).74C2^2	448,1250
(C₂³×C₁₄).₇₅C₂² = C₂⁴.₃₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).75C2^2	448,1251
(C₂³×C₁₄).₇₆C₂² = C₂×C₂₈⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).76C2^2	448,1253
(C₂³×C₁₄).₇₇C₂² = C₂×Dic₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).77C2^2	448,1255
(C₂³×C₁₄).₇₈C₂² = C₂×C₂₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).78C2^2	448,1256
(C₂³×C₁₄).₇₉C₂² = C₂⁴.₄₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).79C2^2	448,1258
(C₂³×C₁₄).₈₀C₂² = C₂⁴.₄₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).80C2^2	448,1259
(C₂³×C₁₄).₈₁C₂² = C₂²×D₄⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).81C2^2	448,1370
(C₂³×C₁₄).₈₂C₂² = C₂²⋊C₄×C₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).82C2^2	448,785
(C₂³×C₁₄).₈₃C₂² = C₇×C₂⁴⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).83C2^2	448,787
(C₂³×C₁₄).₈₄C₂² = C₇×C₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).84C2^2	448,788
(C₂³×C₁₄).₈₅C₂² = C₇×C₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).85C2^2	448,789
(C₂³×C₁₄).₈₆C₂² = C₇×C₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).86C2^2	448,793
(C₂³×C₁₄).₈₇C₂² = C₇×C₂³.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).87C2^2	448,794
(C₂³×C₁₄).₈₈C₂² = C₂²⋊C₄×C₂×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).88C2^2	448,1295
(C₂³×C₁₄).₈₉C₂² = C₁₄×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).89C2^2	448,1297
(C₂³×C₁₄).₉₀C₂² = D₄×C₂×C₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).90C2^2	448,1298
(C₂³×C₁₄).₉₁C₂² = C₁₄×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).91C2^2	448,1306
(C₂³×C₁₄).₉₂C₂² = C₁₄×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).92C2^2	448,1307
(C₂³×C₁₄).₉₃C₂² = C₇×C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).93C2^2	448,1308
(C₂³×C₁₄).₉₄C₂² = C₄○D₄×C₂×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).94C2^2	448,1388
(C₂³×C₁₄).₉₅C₂² = C₂×C₁₄.C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).95C2^2	448,742
(C₂³×C₁₄).₉₆C₂² = C₄×C₂³.D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).96C2^2	448,743
(C₂³×C₁₄).₉₇C₂² = C₂⁴.₆₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).97C2^2	448,744
(C₂³×C₁₄).₉₈C₂² = C₂⁴.₆₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).98C2^2	448,745
(C₂³×C₁₄).₉₉C₂² = C₂³.₂₇D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).99C2^2	448,746
(C₂³×C₁₄).₁₀₀C₂² = C₂³.₂₈D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).100C2^2	448,747
(C₂³×C₁₄).₁₀₁C₂² = C₂⁵.D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).101C2^2	448,781
(C₂³×C₁₄).₁₀₂C₂² = C₂²×C₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).102C2^2	448,1235
(C₂³×C₁₄).₁₀₃C₂² = C₂²×Dic₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).103C2^2	448,1236
(C₂³×C₁₄).₁₀₄C₂² = C₂×C₂₈.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).104C2^2	448,1237
(C₂³×C₁₄).₁₀₅C₂² = C₂²×C₄⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).105C2^2	448,1238
(C₂³×C₁₄).₁₀₆C₂² = C₂×C₂³.₂₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).106C2^2	448,1239
(C₂³×C₁₄).₁₀₇C₂² = C₂²×D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).107C2^2	448,1240
(C₂³×C₁₄).₁₀₈C₂² = C₂×C₄×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).108C2^2	448,1241
(C₂³×C₁₄).₁₀₉C₂² = C₂×C₂³.₂₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).109C2^2	448,1242
(C₂³×C₁₄).₁₁₀C₂² = C₂×C₂₈⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).110C2^2	448,1243
(C₂³×C₁₄).₁₁₁C₂² = C₂⁴.₇₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	112	(C2^3xC14).111C2^2	448,1244
(C₂³×C₁₄).₁₁₂C₂² = C₂²×C₂³.D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).112C2^2	448,1292
(C₂³×C₁₄).₁₁₃C₂² = C₂³×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).113C2^2	448,1365
(C₂³×C₁₄).₁₁₄C₂² = D₇×C₂³×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).114C2^2	448,1366
(C₂³×C₁₄).₁₁₅C₂² = C₂³×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).115C2^2	448,1367
(C₂³×C₁₄).₁₁₆C₂² = C₂²×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	224	(C2^3xC14).116C2^2	448,1368
(C₂³×C₁₄).₁₁₇C₂² = C₂⁴×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₄	448	(C2^3xC14).117C2^2	448,1383
(C₂³×C₁₄).₁₁₈C₂² = C₁₄×C₂.C₄²	central extension (φ=1)	448	(C2^3xC14).118C2^2	448,783
(C₂³×C₁₄).₁₁₉C₂² = C₄⋊C₄×C₂×C₁₄	central extension (φ=1)	448	(C2^3xC14).119C2^2	448,1296
(C₂³×C₁₄).₁₂₀C₂² = Q₈×C₂²×C₁₄	central extension (φ=1)	448	(C2^3xC14).120C2^2	448,1387

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Extensions 1→N→G→Q→1 with N=C23×C14 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³×C₁₄ and Q=C₂²