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Extensions 1→N→G→Q→1 with N=C23.23D6 and Q=C2

Direct product G=NxQ with N=C23.23D6 and Q=C2
dρLabelID
C2xC23.23D696C2xC2^3.23D6192,1355

Semidirect products G=N:Q with N=C23.23D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.23D6:1C2 = C23.5D12φ: C2/C1 → C2 ⊆ Out C23.23D6488-C2^3.23D6:1C2192,301
C23.23D6:2C2 = C24.67D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:2C2192,1145
C23.23D6:3C2 = C24.43D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:3C2192,1146
C23.23D6:4C2 = C24:7D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:4C2192,1148
C23.23D6:5C2 = C24.46D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:5C2192,1152
C23.23D6:6C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:6C2192,1154
C23.23D6:7C2 = C4:C4.178D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:7C2192,1159
C23.23D6:8C2 = C6.712- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:8C2192,1162
C23.23D6:9C2 = C6.402+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:9C2192,1169
C23.23D6:10C2 = C6.732- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:10C2192,1170
C23.23D6:11C2 = C6.432+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:11C2192,1173
C23.23D6:12C2 = C6.442+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:12C2192,1174
C23.23D6:13C2 = C6.792- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:13C2192,1207
C23.23D6:14C2 = S3xC22.D4φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:14C2192,1211
C23.23D6:15C2 = C6.632+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:15C2192,1219
C23.23D6:16C2 = C6.672+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:16C2192,1223
C23.23D6:17C2 = 2+ 1+4.5S3φ: C2/C1 → C2 ⊆ Out C23.23D6488-C2^3.23D6:17C2192,802
C23.23D6:18C2 = C42:18D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:18C2192,1115
C23.23D6:19C2 = C42.118D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:19C2192,1123
C23.23D6:20C2 = C6.342+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:20C2192,1160
C23.23D6:21C2 = C6.702- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:21C2192,1161
C23.23D6:22C2 = C6.422+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:22C2192,1172
C23.23D6:23C2 = C6.492+ 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:23C2192,1180
C23.23D6:24C2 = C42.137D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:24C2192,1228
C23.23D6:25C2 = C42:23D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:25C2192,1238
C23.23D6:26C2 = C42.166D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:26C2192,1272
C23.23D6:27C2 = C42.168D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:27C2192,1278
C23.23D6:28C2 = C42:30D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:28C2192,1279
C23.23D6:29C2 = C24:12D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:29C2192,1363
C23.23D6:30C2 = C24.53D6φ: C2/C1 → C2 ⊆ Out C23.23D648C2^3.23D6:30C2192,1365
C23.23D6:31C2 = C6.1042- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:31C2192,1383
C23.23D6:32C2 = C6.1052- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6:32C2192,1384
C23.23D6:33C2 = C42.102D6φ: trivial image96C2^3.23D6:33C2192,1097
C23.23D6:34C2 = (C2xD4):43D6φ: trivial image48C2^3.23D6:34C2192,1387

Non-split extensions G=N.Q with N=C23.23D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.23D6.1C2 = (C2xD4).D6φ: C2/C1 → C2 ⊆ Out C23.23D6488-C2^3.23D6.1C2192,31
C23.23D6.2C2 = C6.802- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6.2C2192,1209
C23.23D6.3C2 = C6.812- 1+4φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6.3C2192,1210
C23.23D6.4C2 = C23.4D12φ: C2/C1 → C2 ⊆ Out C23.23D6488-C2^3.23D6.4C2192,35
C23.23D6.5C2 = C42.105D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6.5C2192,1100
C23.23D6.6C2 = C42.140D6φ: C2/C1 → C2 ⊆ Out C23.23D696C2^3.23D6.6C2192,1231

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