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Extensions 1→N→G→Q→1 with N=C23⋊2D6 and Q=C2

Direct product G=N×Q with N=C23⋊2D6 and Q=C2
dρLabelID
C2×C23⋊2D648C2xC2^3:2D6192,1358

Semidirect products G=N:Q with N=C23⋊2D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊2D6⋊1C2 = C23⋊D12φ: C2/C1 → C2 ⊆ Out C23⋊2D6248+C2^3:2D6:1C2192,300
C23⋊2D6⋊2C2 = S3×C22≀C2φ: C2/C1 → C2 ⊆ Out C23⋊2D624C2^3:2D6:2C2192,1147
C23⋊2D6⋊3C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:3C2192,1148
C23⋊2D6⋊4C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:4C2192,1149
C23⋊2D6⋊5C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:5C2192,1150
C23⋊2D6⋊6C2 = C24.45D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:6C2192,1151
C23⋊2D6⋊7C2 = C24⋊9D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:7C2192,1153
C23⋊2D6⋊8C2 = C4⋊C4⋊21D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:8C2192,1165
C23⋊2D6⋊9C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:9C2192,1166
C23⋊2D6⋊10C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:10C2192,1168
C23⋊2D6⋊11C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:11C2192,1171
C23⋊2D6⋊12C2 = C6.422+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:12C2192,1172
C23⋊2D6⋊13C2 = C6.462+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:13C2192,1176
C23⋊2D6⋊14C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:14C2192,1179
C23⋊2D6⋊15C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:15C2192,1212
C23⋊2D6⋊16C2 = C4⋊C4⋊28D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:16C2192,1215
C23⋊2D6⋊17C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:17C2192,1216
C23⋊2D6⋊18C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:18C2192,1225
C23⋊2D6⋊19C2 = 2+ 1+4⋊7S3φ: C2/C1 → C2 ⊆ Out C23⋊2D6248+C2^3:2D6:19C2192,803
C23⋊2D6⋊20C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:20C2192,1109
C23⋊2D6⋊21C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:21C2192,1119
C23⋊2D6⋊22C2 = C6.372+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:22C2192,1164
C23⋊2D6⋊23C2 = C6.402+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:23C2192,1169
C23⋊2D6⋊24C2 = C42⋊22D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:24C2192,1237
C23⋊2D6⋊25C2 = C42⋊24D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:25C2192,1242
C23⋊2D6⋊26C2 = C42⋊28D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:26C2192,1274
C23⋊2D6⋊27C2 = D12⋊11D4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:27C2192,1276
C23⋊2D6⋊28C2 = C42⋊30D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:28C2192,1279
C23⋊2D6⋊29C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:29C2192,1360
C23⋊2D6⋊30C2 = C24⋊12D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:30C2192,1363
C23⋊2D6⋊31C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:31C2192,1388
C23⋊2D6⋊32C2 = C6.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6:32C2192,1389
C23⋊2D6⋊33C2 = C42⋊14D6φ: trivial image48C2^3:2D6:33C2192,1106
C23⋊2D6⋊34C2 = (C2×D4)⋊43D6φ: trivial image48C2^3:2D6:34C2192,1387

Non-split extensions G=N.Q with N=C23⋊2D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23⋊2D6.1C2 = C3⋊C2≀C4φ: C2/C1 → C2 ⊆ Out C23⋊2D6248+C2^3:2D6.1C2192,30
C23⋊2D6.2C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6.2C2192,1217
C23⋊2D6.3C2 = C6.622+ 1+4φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6.3C2192,1218
C23⋊2D6.4C2 = C23.3D12φ: C2/C1 → C2 ⊆ Out C23⋊2D6248+C2^3:2D6.4C2192,34
C23⋊2D6.5C2 = C42⋊18D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6.5C2192,1115
C23⋊2D6.6C2 = C42⋊23D6φ: C2/C1 → C2 ⊆ Out C23⋊2D648C2^3:2D6.6C2192,1238

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