Extensions 1→N→G→Q→1 with N=C₄²:₅C₄ and Q=C₂

Direct product G=NxQ with N=C₄²:₅C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²:₅C₄		128		C2xC4^2:5C4	128,1014

Semidirect products G=N:Q with N=C₄²:₅C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₅C₄:₁C₂ = C₄².₅₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	32	C4^2:5C4:1C2	128,246
C₄²:₅C₄:₂C₂ = C₄².₆₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	32	C4^2:5C4:2C2	128,253
C₄²:₅C₄:₃C₂ = C₂⁴.₅₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:3C2	128,1050
C₄²:₅C₄:₄C₂ = C₂⁴.₂₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:4C2	128,1069
C₄²:₅C₄:₅C₂ = C₂³.₂₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:5C2	128,1075
C₄²:₅C₄:₆C₂ = C₂³.₂₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:6C2	128,1079
C₄²:₅C₄:₇C₂ = C₂³.₂₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:7C2	128,1085
C₄²:₅C₄:₈C₂ = C₂³.₂₆₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:8C2	128,1112
C₄²:₅C₄:₉C₂ = C₂⁴.₂₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:9C2	128,1115
C₄²:₅C₄:₁₀C₂ = C₂⁴.₅₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:10C2	128,1225
C₄²:₅C₄:₁₁C₂ = C₂³.₃₉₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:11C2	128,1227
C₄²:₅C₄:₁₂C₂ = C₂³.₄₁₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:12C2	128,1242
C₄²:₅C₄:₁₃C₂ = C₂⁴.₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:13C2	128,1247
C₄²:₅C₄:₁₄C₂ = C₂³.₄₁₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:14C2	128,1250
C₄²:₅C₄:₁₅C₂ = C₂⁴.₃₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:15C2	128,1255
C₄²:₅C₄:₁₆C₂ = C₂³.₄₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:16C2	128,1257
C₄²:₅C₄:₁₇C₂ = C₂³.₄₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:17C2	128,1264
C₄²:₅C₄:₁₈C₂ = C₂³.₄₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:18C2	128,1304
C₄²:₅C₄:₁₉C₂ = C₂³.₄₇₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:19C2	128,1305
C₄²:₅C₄:₂₀C₂ = C₂⁴.₃₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:20C2	128,1309
C₄²:₅C₄:₂₁C₂ = C₂³.₄₇₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:21C2	128,1310
C₄²:₅C₄:₂₂C₂ = C₄²:₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:22C2	128,1330
C₄²:₅C₄:₂₃C₂ = C₄².₁₈₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:23C2	128,1331
C₄²:₅C₄:₂₄C₂ = C₄²:₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:24C2	128,1363
C₄²:₅C₄:₂₅C₂ = C₄².₁₈₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:25C2	128,1364
C₄²:₅C₄:₂₆C₂ = C₄².₁₉₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:26C2	128,1365
C₄²:₅C₄:₂₇C₂ = C₂³.₆₃₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:27C2	128,1469
C₄²:₅C₄:₂₈C₂ = C₂⁴.₄₂₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:28C2	128,1470
C₄²:₅C₄:₂₉C₂ = C₂³.₆₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:29C2	128,1481
C₄²:₅C₄:₃₀C₂ = C₂³.₆₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:30C2	128,1488
C₄²:₅C₄:₃₁C₂ = C₂⁴.₄₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:31C2	128,1489
C₄²:₅C₄:₃₂C₂ = C₂³.₆₅₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:32C2	128,1491
C₄²:₅C₄:₃₃C₂ = C₂³.₆₆₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:33C2	128,1496
C₄²:₅C₄:₃₄C₂ = C₂⁴.₄₄₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:34C2	128,1502
C₄²:₅C₄:₃₅C₂ = C₂³.₆₇₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:35C2	128,1507
C₄²:₅C₄:₃₆C₂ = C₂³.₆₇₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:36C2	128,1509
C₄²:₅C₄:₃₇C₂ = C₄²:₃₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:37C2	128,1550
C₄²:₅C₄:₃₈C₂ = C₄².₂₀₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:38C2	128,1553
C₄²:₅C₄:₃₉C₂ = C₄²:₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	64	C4^2:5C4:39C2	128,1584
C₄²:₅C₄:₄₀C₂ = C₂³.₁₆₅C₂⁴	φ: trivial image	64	C4^2:5C4:40C2	128,1015
C₄²:₅C₄:₄₁C₂ = C₄xC₄²:₂C₂	φ: trivial image	64	C4^2:5C4:41C2	128,1036

Non-split extensions G=N.Q with N=C₄²:₅C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₅C₄.₁C₂ = C₄².₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	32	C4^2:5C4.1C2	128,20
C₄²:₅C₄.₂C₂ = C₄².₆₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	32	C4^2:5C4.2C2	128,247
C₄²:₅C₄.₃C₂ = C₂³.₂₀₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.3C2	128,1052
C₄²:₅C₄.₄C₂ = C₂³.₂₁₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.4C2	128,1068
C₄²:₅C₄.₅C₂ = C₂³.₂₃₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.5C2	128,1088
C₄²:₅C₄.₆C₂ = C₂³.₂₆₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.6C2	128,1113
C₄²:₅C₄.₇C₂ = C₂³.₄₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.7C2	128,1246
C₄²:₅C₄.₈C₂ = C₂³.₄₂₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.8C2	128,1256
C₄²:₅C₄.₉C₂ = C₂³.₄₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.9C2	128,1265
C₄²:₅C₄.₁₀C₂ = C₄²:₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.10C2	128,1337
C₄²:₅C₄.₁₁C₂ = C₄².₃₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.11C2	128,1338
C₄²:₅C₄.₁₂C₂ = C₄².₁₉₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.12C2	128,1366
C₄²:₅C₄.₁₃C₂ = C₄²:₁₁Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.13C2	128,1398
C₄²:₅C₄.₁₄C₂ = C₂³.₆₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.14C2	128,1490
C₄²:₅C₄.₁₅C₂ = C₂³.₆₆₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.15C2	128,1494
C₄²:₅C₄.₁₆C₂ = C₂³.₆₆₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.16C2	128,1498
C₄²:₅C₄.₁₇C₂ = C₂³.₆₆₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.17C2	128,1501
C₄²:₅C₄.₁₈C₂ = C₂³.₆₇₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.18C2	128,1508
C₄²:₅C₄.₁₉C₂ = C₄²:₁₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.19C2	128,1575
C₄²:₅C₄.₂₀C₂ = C₄²:₁₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₅C₄	128	C4^2:5C4.20C2	128,1595

Extensions 1→N→G→Q→1 with N=C42:5C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²:₅C₄ and Q=C₂