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Extensions 1→N→G→Q→1 with N=C3×C42⋊C2 and Q=C2

Direct product G=N×Q with N=C3×C42⋊C2 and Q=C2
dρLabelID
C6×C42⋊C296C6xC4^2:C2192,1403

Semidirect products G=N:Q with N=C3×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C42⋊C2)⋊1C2 = C4⋊C4⋊36D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):1C2192,560
(C3×C42⋊C2)⋊2C2 = C4.(C2×D12)φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):2C2192,561
(C3×C42⋊C2)⋊3C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):3C2192,562
(C3×C42⋊C2)⋊4C2 = C42⋊6D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2):4C2192,564
(C3×C42⋊C2)⋊5C2 = (C2×D12)⋊13C4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2):5C2192,565
(C3×C42⋊C2)⋊6C2 = S3×C42⋊C2φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):6C2192,1079
(C3×C42⋊C2)⋊7C2 = C42⋊9D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):7C2192,1080
(C3×C42⋊C2)⋊8C2 = C42.188D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):8C2192,1081
(C3×C42⋊C2)⋊9C2 = C42.91D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):9C2192,1082
(C3×C42⋊C2)⋊10C2 = C42⋊10D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):10C2192,1083
(C3×C42⋊C2)⋊11C2 = C42⋊11D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):11C2192,1084
(C3×C42⋊C2)⋊12C2 = C42.92D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):12C2192,1085
(C3×C42⋊C2)⋊13C2 = C42⋊12D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):13C2192,1086
(C3×C42⋊C2)⋊14C2 = C42.93D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):14C2192,1087
(C3×C42⋊C2)⋊15C2 = C42.94D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):15C2192,1088
(C3×C42⋊C2)⋊16C2 = C42.95D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):16C2192,1089
(C3×C42⋊C2)⋊17C2 = C42.96D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):17C2192,1090
(C3×C42⋊C2)⋊18C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):18C2192,1091
(C3×C42⋊C2)⋊19C2 = C42.98D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):19C2192,1092
(C3×C42⋊C2)⋊20C2 = C42.99D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):20C2192,1093
(C3×C42⋊C2)⋊21C2 = C42.100D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):21C2192,1094
(C3×C42⋊C2)⋊22C2 = C3×C23.C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2):22C2192,843
(C3×C42⋊C2)⋊23C2 = C3×C23.24D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):23C2192,849
(C3×C42⋊C2)⋊24C2 = C3×C23.37D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):24C2192,851
(C3×C42⋊C2)⋊25C2 = C3×C42⋊C22φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2):25C2192,854
(C3×C42⋊C2)⋊26C2 = C3×C23.19D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):26C2192,915
(C3×C42⋊C2)⋊27C2 = C3×C22.11C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):27C2192,1407
(C3×C42⋊C2)⋊28C2 = C3×C23.33C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):28C2192,1409
(C3×C42⋊C2)⋊29C2 = C3×C22.19C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):29C2192,1414
(C3×C42⋊C2)⋊30C2 = C3×C23.36C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):30C2192,1418
(C3×C42⋊C2)⋊31C2 = C3×C22.29C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):31C2192,1424
(C3×C42⋊C2)⋊32C2 = C3×C23.38C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):32C2192,1425
(C3×C42⋊C2)⋊33C2 = C3×C22.34C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):33C2192,1429
(C3×C42⋊C2)⋊34C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):34C2192,1431
(C3×C42⋊C2)⋊35C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2):35C2192,1440
(C3×C42⋊C2)⋊36C2 = C3×C22.46C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):36C2192,1441
(C3×C42⋊C2)⋊37C2 = C3×C22.47C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):37C2192,1442
(C3×C42⋊C2)⋊38C2 = C3×C22.49C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):38C2192,1444
(C3×C42⋊C2)⋊39C2 = C3×C22.50C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2):39C2192,1445
(C3×C42⋊C2)⋊40C2 = C12×C4○D4φ: trivial image96(C3xC4^2:C2):40C2192,1406

Non-split extensions G=N.Q with N=C3×C42⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C42⋊C2).1C2 = C42⋊3Dic3φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2).1C2192,90
(C3×C42⋊C2).2C2 = C12.2C42φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2).2C2192,91
(C3×C42⋊C2).3C2 = (C2×C12).Q8φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2).3C2192,92
(C3×C42⋊C2).4C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).4C2192,554
(C3×C42⋊C2).5C2 = C4⋊C4.233D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).5C2192,555
(C3×C42⋊C2).6C2 = C12.5C42φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).6C2192,556
(C3×C42⋊C2).7C2 = C4⋊C4.234D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).7C2192,557
(C3×C42⋊C2).8C2 = C42.43D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).8C2192,558
(C3×C42⋊C2).9C2 = C42.187D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).9C2192,559
(C3×C42⋊C2).10C2 = C4⋊C4.237D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).10C2192,563
(C3×C42⋊C2).11C2 = C42.87D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).11C2192,1075
(C3×C42⋊C2).12C2 = C42.88D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).12C2192,1076
(C3×C42⋊C2).13C2 = C42.89D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).13C2192,1077
(C3×C42⋊C2).14C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).14C2192,1078
(C3×C42⋊C2).15C2 = C3×C4.9C42φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2).15C2192,143
(C3×C42⋊C2).16C2 = C3×C42⋊6C4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C248(C3xC4^2:C2).16C2192,145
(C3×C42⋊C2).17C2 = C3×M4(2)⋊4C4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C2484(C3xC4^2:C2).17C2192,150
(C3×C42⋊C2).18C2 = C3×C23.38D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).18C2192,852
(C3×C42⋊C2).19C2 = C3×C42.6C22φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).19C2192,857
(C3×C42⋊C2).20C2 = C3×C23.25D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).20C2192,860
(C3×C42⋊C2).21C2 = C3×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).21C2192,861
(C3×C42⋊C2).22C2 = C3×C42.7C22φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).22C2192,866
(C3×C42⋊C2).23C2 = C3×C23.20D4φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).23C2192,918
(C3×C42⋊C2).24C2 = C3×C23.32C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).24C2192,1408
(C3×C42⋊C2).25C2 = C3×C23.37C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).25C2192,1422
(C3×C42⋊C2).26C2 = C3×C22.35C24φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).26C2192,1430
(C3×C42⋊C2).27C2 = C3×C23.41C23φ: C2/C1 → C2 ⊆ Out C3×C42⋊C296(C3xC4^2:C2).27C2192,1433
(C3×C42⋊C2).28C2 = C3×C8○2M4(2)φ: trivial image96(C3xC4^2:C2).28C2192,838

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