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Extensions 1→N→G→Q→1 with N=C12⋊3D4 and Q=C2

Direct product G=N×Q with N=C12⋊3D4 and Q=C2
dρLabelID
C2×C12⋊3D496C2xC12:3D4192,1362

Semidirect products G=N:Q with N=C12⋊3D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊3D4⋊1C2 = D12⋊1D4φ: C2/C1 → C2 ⊆ Out C12⋊3D4248+C12:3D4:1C2192,306
C12⋊3D4⋊2C2 = D12⋊3D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:2C2192,345
C12⋊3D4⋊3C2 = Dic3⋊D8φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:3C2192,709
C12⋊3D4⋊4C2 = C24⋊5D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:4C2192,710
C12⋊3D4⋊5C2 = C24⋊11D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:5C2192,713
C12⋊3D4⋊6C2 = C24⋊9D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:6C2192,735
C12⋊3D4⋊7C2 = D12⋊18D4φ: C2/C1 → C2 ⊆ Out C12⋊3D4248+C12:3D4:7C2192,757
C12⋊3D4⋊8C2 = 2+ 1+4⋊6S3φ: C2/C1 → C2 ⊆ Out C12⋊3D4248+C12:3D4:8C2192,800
C12⋊3D4⋊9C2 = Dic6⋊24D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:9C2192,1112
C12⋊3D4⋊10C2 = C42.116D6φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:10C2192,1121
C12⋊3D4⋊11C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:11C2192,1149
C12⋊3D4⋊12C2 = C24.45D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:12C2192,1151
C12⋊3D4⋊13C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:13C2192,1154
C12⋊3D4⋊14C2 = C12⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:14C2192,1155
C12⋊3D4⋊15C2 = Dic6⋊20D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:15C2192,1158
C12⋊3D4⋊16C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:16C2192,1166
C12⋊3D4⋊17C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:17C2192,1168
C12⋊3D4⋊18C2 = C6.442+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:18C2192,1174
C12⋊3D4⋊19C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:19C2192,1178
C12⋊3D4⋊20C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:20C2192,1179
C12⋊3D4⋊21C2 = C6.662+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:21C2192,1222
C12⋊3D4⋊22C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:22C2192,1225
C12⋊3D4⋊23C2 = C42.233D6φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:23C2192,1227
C12⋊3D4⋊24C2 = C42⋊20D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:24C2192,1233
C12⋊3D4⋊25C2 = S3×C4⋊1D4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:25C2192,1273
C12⋊3D4⋊26C2 = C42⋊28D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:26C2192,1274
C12⋊3D4⋊27C2 = Dic6⋊11D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:27C2192,1277
C12⋊3D4⋊28C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:28C2192,1360
C12⋊3D4⋊29C2 = C24.52D6φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:29C2192,1364
C12⋊3D4⋊30C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D448C12:3D4:30C2192,1389
C12⋊3D4⋊31C2 = C6.1482+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4:31C2192,1393
C12⋊3D4⋊32C2 = C42.228D6φ: trivial image96C12:3D4:32C2192,1107
C12⋊3D4⋊33C2 = (C2×C12)⋊17D4φ: trivial image96C12:3D4:33C2192,1391

Non-split extensions G=N.Q with N=C12⋊3D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊3D4.1C2 = C23.2D12φ: C2/C1 → C2 ⊆ Out C12⋊3D4248+C12:3D4.1C2192,33
C12⋊3D4.2C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.2C2192,319
C12⋊3D4.3C2 = Dic6⋊2D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.3C2192,321
C12⋊3D4.4C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.4C2192,323
C12⋊3D4.5C2 = Dic3⋊5SD16φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.5C2192,722
C12⋊3D4.6C2 = C24⋊15D4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.6C2192,734
C12⋊3D4.7C2 = C42.114D6φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.7C2192,1118
C12⋊3D4.8C2 = C6.672+ 1+4φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.8C2192,1223
C12⋊3D4.9C2 = C42.143D6φ: C2/C1 → C2 ⊆ Out C12⋊3D496C12:3D4.9C2192,1240

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