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Extensions 1→N→G→Q→1 with N=C23.26D6 and Q=C2

Direct product G=N×Q with N=C23.26D6 and Q=C2
dρLabelID
C2×C23.26D696C2xC2^3.26D6192,1345

Semidirect products G=N:Q with N=C23.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.26D6⋊1C2 = C23.18D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:1C2192,296
C23.26D6⋊2C2 = C23.28D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:2C2192,672
C23.26D6⋊3C2 = C24.42D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:3C2192,1054
C23.26D6⋊4C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:4C2192,1072
C23.26D6⋊5C2 = C42.102D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:5C2192,1097
C23.26D6⋊6C2 = C42.105D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:6C2192,1100
C23.26D6⋊7C2 = C42.106D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:7C2192,1101
C23.26D6⋊8C2 = C42.229D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:8C2192,1116
C23.26D6⋊9C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:9C2192,1122
C23.26D6⋊10C2 = C42.119D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:10C2192,1124
C23.26D6⋊11C2 = C6.802- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:11C2192,1209
C23.26D6⋊12C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:12C2192,1217
C23.26D6⋊13C2 = C24.83D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:13C2192,1350
C23.26D6⋊14C2 = (C2×D12)⋊13C4φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6:14C2192,565
C23.26D6⋊15C2 = C6.Q16⋊C2φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:15C2192,594
C23.26D6⋊16C2 = C23.53D12φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:16C2192,690
C23.26D6⋊17C2 = M4(2)⋊24D6φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6:17C2192,698
C23.26D6⋊18C2 = (C6×D4)⋊6C4φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:18C2192,774
C23.26D6⋊19C2 = C4○D4⋊4Dic3φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:19C2192,792
C23.26D6⋊20C2 = (C6×D4)⋊9C4φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6:20C2192,795
C23.26D6⋊21C2 = (C6×D4)⋊10C4φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6:21C2192,799
C23.26D6⋊22C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:22C2192,1063
C23.26D6⋊23C2 = S3×C42⋊C2φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:23C2192,1079
C23.26D6⋊24C2 = C42⋊9D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:24C2192,1080
C23.26D6⋊25C2 = C6.712- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:25C2192,1162
C23.26D6⋊26C2 = C6.432+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:26C2192,1173
C23.26D6⋊27C2 = C6.452+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:27C2192,1175
C23.26D6⋊28C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:28C2192,1178
C23.26D6⋊29C2 = C6.212- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:29C2192,1198
C23.26D6⋊30C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:30C2192,1200
C23.26D6⋊31C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:31C2192,1202
C23.26D6⋊32C2 = C24.49D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:32C2192,1357
C23.26D6⋊33C2 = C24.52D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:33C2192,1364
C23.26D6⋊34C2 = C6.442- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:34C2192,1375
C23.26D6⋊35C2 = C6.1052- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:35C2192,1384
C23.26D6⋊36C2 = Dic3×C4○D4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:36C2192,1385
C23.26D6⋊37C2 = C6.1442+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6:37C2192,1386
C23.26D6⋊38C2 = (C2×D4)⋊43D6φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:38C2192,1387
C23.26D6⋊39C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6:39C2192,1389
C23.26D6⋊40C2 = C4×C4○D12φ: trivial image96C2^3.26D6:40C2192,1033

Non-split extensions G=N.Q with N=C23.26D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.26D6.1C2 = C12.8C42φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6.1C2192,82
C23.26D6.2C2 = C24⋊C4⋊C2φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.2C2192,279
C23.26D6.3C2 = C23.15D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.3C2192,282
C23.26D6.4C2 = Dic3⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.4C2192,661
C23.26D6.5C2 = C23.27D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.5C2192,665
C23.26D6.6C2 = C42.274D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.6C2192,1029
C23.26D6.7C2 = C42⋊3Dic3φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6.7C2192,90
C23.26D6.8C2 = C12.3C42φ: C2/C1 → C2 ⊆ Out C23.26D648C2^3.26D6.8C2192,114
C23.26D6.9C2 = (C2×C24)⋊C4φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6.9C2192,115
C23.26D6.10C2 = C12.20C42φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6.10C2192,116
C23.26D6.11C2 = M4(2)⋊4Dic3φ: C2/C1 → C2 ⊆ Out C23.26D6484C2^3.26D6.11C2192,118
C23.26D6.12C2 = C4⋊C4.225D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.12C2192,523
C23.26D6.13C2 = C4⋊C4.234D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.13C2192,557
C23.26D6.14C2 = (C2×Q8).51D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.14C2192,604
C23.26D6.15C2 = C12.88(C2×Q8)φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.15C2192,678
C23.26D6.16C2 = C23.51D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.16C2192,679
C23.26D6.17C2 = C23.52D12φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.17C2192,680
C23.26D6.18C2 = C12.7C42φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.18C2192,681
C23.26D6.19C2 = (C6×Q8)⋊6C4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.19C2192,784
C23.26D6.20C2 = C6.72+ 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.20C2192,1059
C23.26D6.21C2 = C42.87D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.21C2192,1075
C23.26D6.22C2 = C42.88D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.22C2192,1076
C23.26D6.23C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.23C2192,1078
C23.26D6.24C2 = C6.152- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.24C2192,1184
C23.26D6.25C2 = C6.422- 1+4φ: C2/C1 → C2 ⊆ Out C23.26D696C2^3.26D6.25C2192,1371
C23.26D6.26C2 = C12.12C42φ: trivial image96C2^3.26D6.26C2192,660

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