Extensions 1→N→G→Q→1 with N=C₄²:₄C₄ and Q=C₂

Direct product G=NxQ with N=C₄²:₄C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²:₄C₄		128		C2xC4^2:4C4	128,999

Semidirect products G=N:Q with N=C₄²:₄C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₄C₄:₁C₂ = C₂³.₁₆₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:1C2	128,1015
C₄²:₄C₄:₂C₂ = C₄³:₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:2C2	128,1030
C₄²:₄C₄:₃C₂ = C₂³.₃₀₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:3C2	128,1133
C₄²:₄C₄:₄C₂ = C₄².₃₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4:4C2	128,232
C₄²:₄C₄:₅C₂ = C₄².₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4:5C2	128,237
C₄²:₄C₄:₆C₂ = D₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4:6C2	128,491
C₄²:₄C₄:₇C₂ = C₄²:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4:7C2	128,695
C₄²:₄C₄:₈C₂ = D₄:₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:8C2	128,1007
C₄²:₄C₄:₉C₂ = C₄²:₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:9C2	128,1022
C₄²:₄C₄:₁₀C₂ = C₂³.₂₀₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:10C2	128,1051
C₄²:₄C₄:₁₁C₂ = C₄².₁₆₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:11C2	128,1058
C₄²:₄C₄:₁₂C₂ = C₄²:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:12C2	128,1060
C₄²:₄C₄:₁₃C₂ = C₂³.₂₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:13C2	128,1075
C₄²:₄C₄:₁₄C₂ = C₂⁴.₂₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:14C2	128,1078
C₄²:₄C₄:₁₅C₂ = C₂³.₂₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:15C2	128,1085
C₄²:₄C₄:₁₆C₂ = C₂⁴.₂₂₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:16C2	128,1104
C₄²:₄C₄:₁₇C₂ = C₂³.₂₅₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:17C2	128,1105
C₄²:₄C₄:₁₈C₂ = C₄²:₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:18C2	128,1129
C₄²:₄C₄:₁₉C₂ = C₄².₁₆₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:19C2	128,1130
C₄²:₄C₄:₂₀C₂ = C₂³.₄₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:20C2	128,1258
C₄²:₄C₄:₂₁C₂ = C₂⁴.₃₁₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:21C2	128,1259
C₄²:₄C₄:₂₂C₂ = C₂³.₄₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:22C2	128,1261
C₄²:₄C₄:₂₃C₂ = C₂³.₄₃₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:23C2	128,1262
C₄²:₄C₄:₂₄C₂ = C₂³.₄₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:24C2	128,1263
C₄²:₄C₄:₂₅C₂ = C₂³.₄₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:25C2	128,1264
C₄²:₄C₄:₂₆C₂ = C₄²:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:26C2	128,1335
C₄²:₄C₄:₂₇C₂ = C₄².₁₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:27C2	128,1336
C₄²:₄C₄:₂₈C₂ = C₄²:₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:28C2	128,1342
C₄²:₄C₄:₂₉C₂ = C₄².₁₈₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:29C2	128,1343
C₄²:₄C₄:₃₀C₂ = C₄².₁₉₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:30C2	128,1372
C₄²:₄C₄:₃₁C₂ = C₄².₁₉₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:31C2	128,1373
C₄²:₄C₄:₃₂C₂ = C₂³.₅₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:32C2	128,1376
C₄²:₄C₄:₃₃C₂ = C₄²:₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:33C2	128,1389
C₄²:₄C₄:₃₄C₂ = C₄².₁₉₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	64	C4^2:4C4:34C2	128,1390
C₄²:₄C₄:₃₅C₂ = C₄xC₄²:C₂	φ: trivial image	64	C4^2:4C4:35C2	128,1002

Non-split extensions G=N.Q with N=C₄²:₄C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²:₄C₄.₁C₂ = (C₄xC₈):₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.1C2	128,478
C₄²:₄C₄.₂C₂ = C₄²:₄C₄.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.2C2	128,572
C₄²:₄C₄.₃C₂ = C₄²:₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4.3C2	128,6
C₄²:₄C₄.₄C₂ = C₄².₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4.4C2	128,32
C₄²:₄C₄.₅C₂ = C₄².₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4.5C2	128,238
C₄²:₄C₄.₆C₂ = C₄².₄₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.6C2	128,500
C₄²:₄C₄.₇C₂ = C₄².₂₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.7C2	128,564
C₄²:₄C₄.₈C₂ = C₄².₂₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.8C2	128,575
C₄²:₄C₄.₉C₂ = C₄²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	32	C4^2:4C4.9C2	128,727
C₄²:₄C₄.₁₀C₂ = Q₈:₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.10C2	128,1008
C₄²:₄C₄.₁₁C₂ = C₄²:₁₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.11C2	128,1027
C₄²:₄C₄.₁₂C₂ = C₂³.₂₀₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.12C2	128,1052
C₄²:₄C₄.₁₃C₂ = C₄².₁₆₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.13C2	128,1059
C₄²:₄C₄.₁₄C₂ = C₄².₃₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.14C2	128,1062
C₄²:₄C₄.₁₅C₂ = C₄²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.15C2	128,1063
C₄²:₄C₄.₁₆C₂ = C₂³.₂₃₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.16C2	128,1088
C₄²:₄C₄.₁₇C₂ = C₂³.₂₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.17C2	128,1103
C₄²:₄C₄.₁₈C₂ = C₄²:₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.18C2	128,1131
C₄²:₄C₄.₁₉C₂ = C₄².₃₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.19C2	128,1134
C₄²:₄C₄.₂₀C₂ = C₂³.₄₂₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.20C2	128,1260
C₄²:₄C₄.₂₁C₂ = C₂³.₄₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.21C2	128,1265
C₄²:₄C₄.₂₂C₂ = C₄²:₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.22C2	128,1337
C₄²:₄C₄.₂₃C₂ = C₄².₃₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.23C2	128,1338
C₄²:₄C₄.₂₄C₂ = C₄²:₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.24C2	128,1344
C₄²:₄C₄.₂₅C₂ = C₄².₁₉₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.25C2	128,1374
C₄²:₄C₄.₂₆C₂ = C₂³.₅₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.26C2	128,1377
C₄²:₄C₄.₂₇C₂ = C₄².₃₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.27C2	128,1379
C₄²:₄C₄.₂₈C₂ = C₄²:₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄²:₄C₄	128	C4^2:4C4.28C2	128,1392
C₄²:₄C₄.₂₉C₂ = C₂.C₄³	φ: trivial image	128	C4^2:4C4.29C2	128,458

Extensions 1→N→G→Q→1 with N=C42:4C4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²:₄C₄ and Q=C₂