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Extensions 1→N→G→Q→1 with N=C2×C4○D12 and Q=C2

Direct product G=N×Q with N=C2×C4○D12 and Q=C2
dρLabelID
C22×C4○D1296C2^2xC4oD12192,1513

Semidirect products G=N:Q with N=C2×C4○D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D12)⋊1C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):1C2192,293
(C2×C4○D12)⋊2C2 = C42.276D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):2C2192,1036
(C2×C4○D12)⋊3C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):3C2192,1049
(C2×C4○D12)⋊4C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):4C2192,1066
(C2×C4○D12)⋊5C2 = C42⋊14D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):5C2192,1106
(C2×C4○D12)⋊6C2 = C42.228D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):6C2192,1107
(C2×C4○D12)⋊7C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):7C2192,1109
(C2×C4○D12)⋊8C2 = D12⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):8C2192,1110
(C2×C4○D12)⋊9C2 = Dic6⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):9C2192,1111
(C2×C4○D12)⋊10C2 = Dic6⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):10C2192,1112
(C2×C4○D12)⋊11C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):11C2192,1213
(C2×C4○D12)⋊12C2 = C6.822- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):12C2192,1214
(C2×C4○D12)⋊13C2 = C2×C4○D24φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):13C2192,1300
(C2×C4○D12)⋊14C2 = C24.83D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):14C2192,1350
(C2×C4○D12)⋊15C2 = D12⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):15C2192,596
(C2×C4○D12)⋊16C2 = C6.2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):16C2192,1069
(C2×C4○D12)⋊17C2 = C42⋊10D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):17C2192,1083
(C2×C4○D12)⋊18C2 = C42⋊11D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):18C2192,1084
(C2×C4○D12)⋊19C2 = Dic6⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):19C2192,1158
(C2×C4○D12)⋊20C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):20C2192,1166
(C2×C4○D12)⋊21C2 = C6.722- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):21C2192,1167
(C2×C4○D12)⋊22C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):22C2192,1171
(C2×C4○D12)⋊23C2 = C6.172- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):23C2192,1188
(C2×C4○D12)⋊24C2 = D12⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):24C2192,1190
(C2×C4○D12)⋊25C2 = Dic6⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):25C2192,1192
(C2×C4○D12)⋊26C2 = C2×C8⋊D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):26C2192,1305
(C2×C4○D12)⋊27C2 = C24.9C23φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12):27C2192,1307
(C2×C4○D12)⋊28C2 = C2×D12⋊6C22φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):28C2192,1352
(C2×C4○D12)⋊29C2 = C24.52D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):29C2192,1364
(C2×C4○D12)⋊30C2 = C2×Q8.13D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):30C2192,1380
(C2×C4○D12)⋊31C2 = C12.C24φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12):31C2192,1381
(C2×C4○D12)⋊32C2 = (C2×C12)⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):32C2192,1391
(C2×C4○D12)⋊33C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):33C2192,1392
(C2×C4○D12)⋊34C2 = C2×D4⋊6D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):34C2192,1516
(C2×C4○D12)⋊35C2 = C2×Q8.15D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):35C2192,1519
(C2×C4○D12)⋊36C2 = C2×S3×C4○D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):36C2192,1520
(C2×C4○D12)⋊37C2 = C2×D4○D12φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12):37C2192,1521
(C2×C4○D12)⋊38C2 = C2×Q8○D12φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12):38C2192,1522
(C2×C4○D12)⋊39C2 = C6.C25φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12):39C2192,1523

Non-split extensions G=N.Q with N=C2×C4○D12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D12).1C2 = D6⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).1C2192,286
(C2×C4○D12).2C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).2C2192,292
(C2×C4○D12).3C2 = C2×C42⋊4S3φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12).3C2192,486
(C2×C4○D12).4C2 = (C22×C8)⋊7S3φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).4C2192,669
(C2×C4○D12).5C2 = C23.28D12φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).5C2192,672
(C2×C4○D12).6C2 = C4○D12⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).6C2192,525
(C2×C4○D12).7C2 = C4.(C2×D12)φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).7C2192,561
(C2×C4○D12).8C2 = C42⋊6D6φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12).8C2192,564
(C2×C4○D12).9C2 = (C2×D12)⋊13C4φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12).9C2192,565
(C2×C4○D12).10C2 = D12.37D4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).10C2192,606
(C2×C4○D12).11C2 = D6⋊C8⋊40C2φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).11C2192,688
(C2×C4○D12).12C2 = M4(2).31D6φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12).12C2192,691
(C2×C4○D12).13C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).13C2192,692
(C2×C4○D12).14C2 = C2×D12⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4○D1248(C2xC4oD12).14C2192,697
(C2×C4○D12).15C2 = M4(2)⋊24D6φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12).15C2192,698
(C2×C4○D12).16C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).16C2192,1063
(C2×C4○D12).17C2 = C42.188D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).17C2192,1081
(C2×C4○D12).18C2 = C42.91D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).18C2192,1082
(C2×C4○D12).19C2 = C42.92D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).19C2192,1085
(C2×C4○D12).20C2 = C6.162- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).20C2192,1187
(C2×C4○D12).21C2 = C2×D12.C4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).21C2192,1303
(C2×C4○D12).22C2 = M4(2)⋊26D6φ: C2/C1 → C2 ⊆ Out C2×C4○D12484(C2xC4oD12).22C2192,1304
(C2×C4○D12).23C2 = C2×C8.D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).23C2192,1306
(C2×C4○D12).24C2 = C2×Q8.11D6φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).24C2192,1367
(C2×C4○D12).25C2 = C6.442- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D1296(C2xC4oD12).25C2192,1375
(C2×C4○D12).26C2 = C4×C4○D12φ: trivial image96(C2xC4oD12).26C2192,1033
(C2×C4○D12).27C2 = C2×C8○D12φ: trivial image96(C2xC4oD12).27C2192,1297

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