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Extensions 1→N→G→Q→1 with N=D6⋊D4 and Q=C2

Direct product G=N×Q with N=D6⋊D4 and Q=C2
dρLabelID
C2×D6⋊D448C2xD6:D4192,1046

Semidirect products G=N:Q with N=D6⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊D4⋊1C2 = C23⋊D12φ: C2/C1 → C2 ⊆ Out D6⋊D4248+D6:D4:1C2192,300
D6⋊D4⋊2C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:2C2192,1049
D6⋊D4⋊3C2 = C23⋊4D12φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:3C2192,1052
D6⋊D4⋊4C2 = C42⋊11D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:4C2192,1084
D6⋊D4⋊5C2 = D4×D12φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:5C2192,1108
D6⋊D4⋊6C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:6C2192,1113
D6⋊D4⋊7C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:7C2192,1119
D6⋊D4⋊8C2 = S3×C22≀C2φ: C2/C1 → C2 ⊆ Out D6⋊D424D6:D4:8C2192,1147
D6⋊D4⋊9C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:9C2192,1149
D6⋊D4⋊10C2 = C24.45D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:10C2192,1151
D6⋊D4⋊11C2 = C6.372+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:11C2192,1164
D6⋊D4⋊12C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:12C2192,1166
D6⋊D4⋊13C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:13C2192,1168
D6⋊D4⋊14C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:14C2192,1179
D6⋊D4⋊15C2 = C4⋊C4⋊26D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:15C2192,1186
D6⋊D4⋊16C2 = D12⋊21D4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:16C2192,1189
D6⋊D4⋊17C2 = C6.562+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:17C2192,1203
D6⋊D4⋊18C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:18C2192,1212
D6⋊D4⋊19C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:19C2192,1213
D6⋊D4⋊20C2 = C4⋊C4⋊28D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:20C2192,1215
D6⋊D4⋊21C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:21C2192,1216
D6⋊D4⋊22C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:22C2192,1225
D6⋊D4⋊23C2 = C42⋊20D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:23C2192,1233
D6⋊D4⋊24C2 = D12⋊10D4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:24C2192,1235
D6⋊D4⋊25C2 = C42⋊22D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:25C2192,1237
D6⋊D4⋊26C2 = C42⋊24D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:26C2192,1242
D6⋊D4⋊27C2 = C42⋊25D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:27C2192,1263
D6⋊D4⋊28C2 = C42⋊27D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4:28C2192,1270
D6⋊D4⋊29C2 = C42⋊10D6φ: trivial image48D6:D4:29C2192,1083
D6⋊D4⋊30C2 = C42⋊14D6φ: trivial image48D6:D4:30C2192,1106

Non-split extensions G=N.Q with N=D6⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊D4.1C2 = C42⋊12D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4.1C2192,1086
D6⋊D4.2C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4.2C2192,1196
D6⋊D4.3C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out D6⋊D448D6:D4.3C2192,1264

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