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Extensions 1→N→G→Q→1 with N=C12⋊2Q8 and Q=C2

Direct product G=N×Q with N=C12⋊2Q8 and Q=C2
dρLabelID
C2×C12⋊2Q8192C2xC12:2Q8192,1027

Semidirect products G=N:Q with N=C12⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊2Q8⋊1C2 = C8⋊5D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:1C2192,252
C12⋊2Q8⋊2C2 = C4.5D24φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:2C2192,253
C12⋊2Q8⋊3C2 = C42.20D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:3C2192,273
C12⋊2Q8⋊4C2 = C8.D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:4C2192,274
C12⋊2Q8⋊5C2 = C42.89D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:5C2192,1077
C12⋊2Q8⋊6C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:6C2192,1078
C12⋊2Q8⋊7C2 = C42.92D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:7C2192,1085
C12⋊2Q8⋊8C2 = C42.99D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:8C2192,1093
C12⋊2Q8⋊9C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:9C2192,1271
C12⋊2Q8⋊10C2 = Q8.14D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q8484-C12:2Q8:10C2192,385
C12⋊2Q8⋊11C2 = C12⋊SD16φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:11C2192,400
C12⋊2Q8⋊12C2 = D12⋊3Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:12C2192,401
C12⋊2Q8⋊13C2 = D12⋊4Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:13C2192,405
C12⋊2Q8⋊14C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:14C2192,566
C12⋊2Q8⋊15C2 = C12.38SD16φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:15C2192,567
C12⋊2Q8⋊16C2 = D4.2D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:16C2192,578
C12⋊2Q8⋊17C2 = C42.62D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:17C2192,614
C12⋊2Q8⋊18C2 = C42.65D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:18C2192,619
C12⋊2Q8⋊19C2 = C12.16D8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:19C2192,629
C12⋊2Q8⋊20C2 = C12⋊4SD16φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:20C2192,635
C12⋊2Q8⋊21C2 = D4×Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:21C2192,1096
C12⋊2Q8⋊22C2 = C42.106D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:22C2192,1101
C12⋊2Q8⋊23C2 = D4⋊6Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:23C2192,1102
C12⋊2Q8⋊24C2 = D12⋊24D4φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:24C2192,1110
C12⋊2Q8⋊25C2 = D4⋊6D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:25C2192,1114
C12⋊2Q8⋊26C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:26C2192,1122
C12⋊2Q8⋊27C2 = Q8×D12φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:27C2192,1134
C12⋊2Q8⋊28C2 = D12⋊10Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:28C2192,1138
C12⋊2Q8⋊29C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:29C2192,1143
C12⋊2Q8⋊30C2 = C42.141D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:30C2192,1234
C12⋊2Q8⋊31C2 = C42.144D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:31C2192,1241
C12⋊2Q8⋊32C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:32C2192,1248
C12⋊2Q8⋊33C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:33C2192,1257
C12⋊2Q8⋊34C2 = C42.238D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:34C2192,1275
C12⋊2Q8⋊35C2 = S3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:35C2192,1282
C12⋊2Q8⋊36C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q896C12:2Q8:36C2192,1287
C12⋊2Q8⋊37C2 = C42.274D6φ: trivial image96C12:2Q8:37C2192,1029
C12⋊2Q8⋊38C2 = C42.276D6φ: trivial image96C12:2Q8:38C2192,1036

Non-split extensions G=N.Q with N=C12⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊2Q8.1C2 = C24⋊9Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.1C2192,239
C12⋊2Q8.2C2 = C12.14Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.2C2192,240
C12⋊2Q8.3C2 = C24⋊8Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.3C2192,241
C12⋊2Q8.4C2 = C12⋊4Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.4C2192,258
C12⋊2Q8.5C2 = C8⋊Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.5C2192,261
C12⋊2Q8.6C2 = C42.14D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.6C2192,262
C12⋊2Q8.7C2 = C4.Dic12φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.7C2192,40
C12⋊2Q8.8C2 = C12.47D8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.8C2192,41
C12⋊2Q8.9C2 = C12.2D8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.9C2192,45
C12⋊2Q8.10C2 = C4⋊Dic12φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.10C2192,408
C12⋊2Q8.11C2 = Dic6⋊3Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.11C2192,409
C12⋊2Q8.12C2 = Dic6⋊4Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.12C2192,410
C12⋊2Q8.13C2 = Q8⋊4Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.13C2192,579
C12⋊2Q8.14C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.14C2192,580
C12⋊2Q8.15C2 = C12⋊7Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.15C2192,590
C12⋊2Q8.16C2 = C42.68D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.16C2192,623
C12⋊2Q8.17C2 = C42.71D6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.17C2192,628
C12⋊2Q8.18C2 = C12.17D8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.18C2192,637
C12⋊2Q8.19C2 = C12.9Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.19C2192,638
C12⋊2Q8.20C2 = C12.SD16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.20C2192,639
C12⋊2Q8.21C2 = C12⋊3Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.21C2192,651
C12⋊2Q8.22C2 = C12.Q16φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.22C2192,652
C12⋊2Q8.23C2 = Q8×Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.23C2192,1125
C12⋊2Q8.24C2 = Dic6⋊10Q8φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.24C2192,1126
C12⋊2Q8.25C2 = Q8⋊7Dic6φ: C2/C1 → C2 ⊆ Out C12⋊2Q8192C12:2Q8.25C2192,1129

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