Extensions 1→N→G→Q→1 with N=C₂³.₃₄D₄ and Q=C₂

Direct product G=NxQ with N=C₂³.₃₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₂³.₃₄D₄		64		C2xC2^3.34D4	128,1011

Semidirect products G=N:Q with N=C₂³.₃₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₃₄D₄:₁C₂ = C₂⁴.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:1C2	128,622
C₂³.₃₄D₄:₂C₂ = C₂³.₂₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:2C2	128,1085
C₂³.₃₄D₄:₃C₂ = C₂⁴.₂₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:3C2	128,1089
C₂³.₃₄D₄:₄C₂ = C₂⁴.₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:4C2	128,242
C₂³.₃₄D₄:₅C₂ = C₂⁴.₅₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:5C2	128,248
C₂³.₃₄D₄:₆C₂ = C₂⁴.₁₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:6C2	128,514
C₂³.₃₄D₄:₇C₂ = C₂⁴.₁₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:7C2	128,631
C₂³.₃₄D₄:₈C₂ = C₂⁴.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:8C2	128,754
C₂³.₃₄D₄:₉C₂ = C₂⁴.₉₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:9C2	128,1040
C₂³.₃₄D₄:₁₀C₂ = C₂⁴.₅₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:10C2	128,1050
C₂³.₃₄D₄:₁₁C₂ = C₂³.₂₀₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:11C2	128,1051
C₂³.₃₄D₄:₁₂C₂ = C₂⁴.₁₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:12C2	128,1054
C₂³.₃₄D₄:₁₃C₂ = C₂³.₂₁₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:13C2	128,1065
C₂³.₃₄D₄:₁₄C₂ = C₂⁴.₅₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:14C2	128,1071
C₂³.₃₄D₄:₁₅C₂ = C₂³.₂₂₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:15C2	128,1074
C₂³.₃₄D₄:₁₆C₂ = C₂³.₂₅₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:16C2	128,1109
C₂³.₃₄D₄:₁₇C₂ = C₂³.₃₀₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:17C2	128,1136
C₂³.₃₄D₄:₁₈C₂ = C₂⁴.₂₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:18C2	128,1138
C₂³.₃₄D₄:₁₉C₂ = C₂⁴.₉₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:19C2	128,1144
C₂³.₃₄D₄:₂₀C₂ = C₂³.₃₁₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:20C2	128,1145
C₂³.₃₄D₄:₂₁C₂ = C₂⁴.₅₆₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:21C2	128,1151
C₂³.₃₄D₄:₂₂C₂ = C₂⁴.₂₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:22C2	128,1152
C₂³.₃₄D₄:₂₃C₂ = C₂³.₃₄₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:23C2	128,1176
C₂³.₃₄D₄:₂₄C₂ = C₂⁴.₂₇₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:24C2	128,1179
C₂³.₃₄D₄:₂₅C₂ = C₂⁴.₂₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:25C2	128,1189
C₂³.₃₄D₄:₂₆C₂ = C₂³.₃₅₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:26C2	128,1191
C₂³.₃₄D₄:₂₇C₂ = C₂⁴.₂₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:27C2	128,1198
C₂³.₃₄D₄:₂₈C₂ = C₂³.₃₆₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:28C2	128,1200
C₂³.₃₄D₄:₂₉C₂ = C₂³.₃₈₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:29C2	128,1214
C₂³.₃₄D₄:₃₀C₂ = C₂⁴.₉₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:30C2	128,1215
C₂³.₃₄D₄:₃₁C₂ = C₂⁴.₂₉₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:31C2	128,1218
C₂³.₃₄D₄:₃₂C₂ = C₂³.₃₈₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:32C2	128,1220
C₂³.₃₄D₄:₃₃C₂ = C₂³.₄₁₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:33C2	128,1248
C₂³.₃₄D₄:₃₄C₂ = C₂³.₄₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:34C2	128,1258
C₂³.₃₄D₄:₃₅C₂ = C₂³.₄₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:35C2	128,1266
C₂³.₃₄D₄:₃₆C₂ = C₂³.₄₆₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:36C2	128,1293
C₂³.₃₄D₄:₃₇C₂ = C₂³.₄₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:37C2	128,1304
C₂³.₃₄D₄:₃₈C₂ = C₂⁴.₃₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:38C2	128,1308
C₂³.₃₄D₄:₃₉C₂ = C₂³.₅₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:39C2	128,1332
C₂³.₃₄D₄:₄₀C₂ = C₂⁴:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:40C2	128,1345
C₂³.₃₄D₄:₄₁C₂ = C₂³.₅₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:41C2	128,1346
C₂³.₃₄D₄:₄₂C₂ = C₂⁴.₅₈₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:42C2	128,1355
C₂³.₃₄D₄:₄₃C₂ = C₂³.₅₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:43C2	128,1367
C₂³.₃₄D₄:₄₄C₂ = C₂⁴.₃₇₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:44C2	128,1370
C₂³.₃₄D₄:₄₅C₂ = C₂⁴.₃₉₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:45C2	128,1418
C₂³.₃₄D₄:₄₆C₂ = C₂⁴.₃₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:46C2	128,1419
C₂³.₃₄D₄:₄₇C₂ = C₂⁴.₃₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:47C2	128,1420
C₂³.₃₄D₄:₄₈C₂ = C₂⁴.₄₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:48C2	128,1431
C₂³.₃₄D₄:₄₉C₂ = C₂³.₆₀₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:49C2	128,1432
C₂³.₃₄D₄:₅₀C₂ = C₂⁴.₄₀₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:50C2	128,1433
C₂³.₃₄D₄:₅₁C₂ = C₂³.₆₃₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:51C2	128,1469
C₂³.₃₄D₄:₅₂C₂ = C₂³.₆₄₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:52C2	128,1472
C₂³.₃₄D₄:₅₃C₂ = C₂³.₆₄₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:53C2	128,1475
C₂³.₃₄D₄:₅₄C₂ = C₂⁴.₄₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:54C2	128,1478
C₂³.₃₄D₄:₅₅C₂ = C₂³.₆₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:55C2	128,1481
C₂³.₃₄D₄:₅₆C₂ = C₂⁴.₄₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:56C2	128,1482
C₂³.₃₄D₄:₅₇C₂ = C₂³.₆₅₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:57C2	128,1483
C₂³.₃₄D₄:₅₈C₂ = C₂³.₆₅₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:58C2	128,1484
C₂³.₃₄D₄:₅₉C₂ = C₂³.₆₆₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:59C2	128,1492
C₂³.₃₄D₄:₆₀C₂ = C₂⁴.₄₄₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:60C2	128,1493
C₂³.₃₄D₄:₆₁C₂ = C₂³.₇₁₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:61C2	128,1547
C₂³.₃₄D₄:₆₂C₂ = C₂³.₇₁₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:62C2	128,1548
C₂³.₃₄D₄:₆₃C₂ = C₂⁴.₁₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4:63C2	128,1581
C₂³.₃₄D₄:₆₄C₂ = C₂³.₇₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4:64C2	128,1585
C₂³.₃₄D₄:₆₅C₂ = C₂⁵.₈₅C₂²	φ: trivial image	32	C2^3.34D4:65C2	128,1012
C₂³.₃₄D₄:₆₆C₂ = C₄xC₂².D₄	φ: trivial image	64	C2^3.34D4:66C2	128,1033

Non-split extensions G=N.Q with N=C₂³.₃₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂³.₃₄D₄.₁C₂ = C₂³.₁₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.1C2	128,49
C₂³.₃₄D₄.₂C₂ = C₂⁴.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.2C2	128,16
C₂³.₃₄D₄.₃C₂ = C₂³.₈C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.3C2	128,38
C₂³.₃₄D₄.₄C₂ = C₂⁴.₅₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.4C2	128,243
C₂³.₃₄D₄.₅C₂ = C₂⁴.₁₆₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.5C2	128,552
C₂³.₃₄D₄.₆C₂ = C₂⁴.₁₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	32	C2^3.34D4.6C2	128,762
C₂³.₃₄D₄.₇C₂ = C₂³.₁₉₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.7C2	128,1042
C₂³.₃₄D₄.₈C₂ = C₂³.₁₉₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.8C2	128,1045
C₂³.₃₄D₄.₉C₂ = C₂³.₂₁₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.9C2	128,1064
C₂³.₃₄D₄.₁₀C₂ = C₂³.₂₂₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.10C2	128,1075
C₂³.₃₄D₄.₁₁C₂ = C₂³.₂₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.11C2	128,1076
C₂³.₃₄D₄.₁₂C₂ = C₂⁴.₂₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.12C2	128,1110
C₂³.₃₄D₄.₁₃C₂ = C₂⁴.₅₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.13C2	128,1170
C₂³.₃₄D₄.₁₄C₂ = C₂⁴.₅₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.14C2	128,1216
C₂³.₃₄D₄.₁₅C₂ = C₂⁴.₅₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.15C2	128,1225
C₂³.₃₄D₄.₁₆C₂ = C₂⁴.₅₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.16C2	128,1235
C₂³.₃₄D₄.₁₇C₂ = C₂⁴.₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.17C2	128,1247
C₂³.₃₄D₄.₁₈C₂ = C₂⁴.₃₁₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.18C2	128,1259
C₂³.₃₄D₄.₁₉C₂ = C₂³.₄₇₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.19C2	128,1305
C₂³.₃₄D₄.₂₀C₂ = C₂⁴.₃₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.20C2	128,1307
C₂³.₃₄D₄.₂₁C₂ = C₂⁴.₃₅₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.21C2	128,1339
C₂³.₃₄D₄.₂₂C₂ = C₂³.₅₀₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.22C2	128,1340
C₂³.₃₄D₄.₂₃C₂ = C₂³.₅₂₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.23C2	128,1359
C₂³.₃₄D₄.₂₄C₂ = C₂⁴.₃₇₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.24C2	128,1397
C₂³.₃₄D₄.₂₅C₂ = C₂³.₅₆₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.25C2	128,1399
C₂³.₃₄D₄.₂₆C₂ = C₂³.₅₈₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.26C2	128,1421
C₂³.₃₄D₄.₂₇C₂ = C₂⁴.₄₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.27C2	128,1430
C₂³.₃₄D₄.₂₈C₂ = C₂⁴.₄₂₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.28C2	128,1470
C₂³.₃₄D₄.₂₉C₂ = C₂⁴.₄₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.29C2	128,1471
C₂³.₃₄D₄.₃₀C₂ = C₂⁴.₄₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.30C2	128,1476
C₂³.₃₄D₄.₃₁C₂ = C₂³.₆₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.31C2	128,1477
C₂³.₃₄D₄.₃₂C₂ = C₂³.₆₆₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.32C2	128,1496
C₂³.₃₄D₄.₃₃C₂ = C₂⁴.₄₄₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.33C2	128,1497
C₂³.₃₄D₄.₃₄C₂ = C₂³.₆₇₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.34C2	128,1503
C₂³.₃₄D₄.₃₅C₂ = C₂⁴.₄₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.35C2	128,1549
C₂³.₃₄D₄.₃₆C₂ = C₂³.₇₄₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.36C2	128,1573
C₂³.₃₄D₄.₃₇C₂ = C₂⁴.₅₉₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃₄D₄	64	C2^3.34D4.37C2	128,1587
C₂³.₃₄D₄.₃₈C₂ = C₂³.₁₆₅C₂⁴	φ: trivial image	64	C2^3.34D4.38C2	128,1015

Extensions 1→N→G→Q→1 with N=C23.34D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₃₄D₄ and Q=C₂