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Extensions 1→N→G→Q→1 with N=C2×C4⋊Dic3 and Q=C2

Direct product G=N×Q with N=C2×C4⋊Dic3 and Q=C2
dρLabelID
C22×C4⋊Dic3192C2^2xC4:Dic3192,1344

Semidirect products G=N:Q with N=C2×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic3)⋊1C2 = D6⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):1C2192,227
(C2×C4⋊Dic3)⋊2C2 = D6⋊C4⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):2C2192,229
(C2×C4⋊Dic3)⋊3C2 = (C2×C4).21D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):3C2192,233
(C2×C4⋊Dic3)⋊4C2 = (C2×C12).33D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):4C2192,236
(C2×C4⋊Dic3)⋊5C2 = C23.43D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):5C2192,294
(C2×C4⋊Dic3)⋊6C2 = C22.D24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):6C2192,295
(C2×C4⋊Dic3)⋊7C2 = (C2×C4)⋊6D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):7C2192,498
(C2×C4⋊Dic3)⋊8C2 = C24.17D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):8C2192,507
(C2×C4⋊Dic3)⋊9C2 = C24.18D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):9C2192,508
(C2×C4⋊Dic3)⋊10C2 = C24.58D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):10C2192,509
(C2×C4⋊Dic3)⋊11C2 = C24.19D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):11C2192,510
(C2×C4⋊Dic3)⋊12C2 = C24.21D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):12C2192,512
(C2×C4⋊Dic3)⋊13C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):13C2192,520
(C2×C4⋊Dic3)⋊14C2 = (C2×C12).56D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):14C2192,553
(C2×C4⋊Dic3)⋊15C2 = C2×C2.D24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):15C2192,671
(C2×C4⋊Dic3)⋊16C2 = C24.75D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):16C2192,771
(C2×C4⋊Dic3)⋊17C2 = C2×Dic3.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):17C2192,1040
(C2×C4⋊Dic3)⋊18C2 = C2×C23.8D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):18C2192,1041
(C2×C4⋊Dic3)⋊19C2 = C2×C23.9D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):19C2192,1047
(C2×C4⋊Dic3)⋊20C2 = C2×C23.21D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):20C2192,1051
(C2×C4⋊Dic3)⋊21C2 = C2×C4.D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):21C2192,1068
(C2×C4⋊Dic3)⋊22C2 = C2×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):22C2192,1071
(C2×C4⋊Dic3)⋊23C2 = C42.105D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):23C2192,1100
(C2×C4⋊Dic3)⋊24C2 = D4⋊6Dic6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):24C2192,1102
(C2×C4⋊Dic3)⋊25C2 = D4⋊6D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):25C2192,1114
(C2×C4⋊Dic3)⋊26C2 = C42.119D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):26C2192,1124
(C2×C4⋊Dic3)⋊27C2 = C6.852- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):27C2192,1224
(C2×C4⋊Dic3)⋊28C2 = C2×C12.48D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):28C2192,1343
(C2×C4⋊Dic3)⋊29C2 = C2×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):29C2192,1349
(C2×C4⋊Dic3)⋊30C2 = C4⋊(D6⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):30C2192,546
(C2×C4⋊Dic3)⋊31C2 = (C2×C6).D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):31C2192,592
(C2×C4⋊Dic3)⋊32C2 = C4⋊D4.S3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):32C2192,593
(C2×C4⋊Dic3)⋊33C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):33C2192,692
(C2×C4⋊Dic3)⋊34C2 = C2×D4⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):34C2192,773
(C2×C4⋊Dic3)⋊35C2 = C24.30D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):35C2192,780
(C2×C4⋊Dic3)⋊36C2 = C4○D4⋊3Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):36C2192,791
(C2×C4⋊Dic3)⋊37C2 = C2×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):37C2192,1060
(C2×C4⋊Dic3)⋊38C2 = C2×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):38C2192,1061
(C2×C4⋊Dic3)⋊39C2 = C42.91D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):39C2192,1082
(C2×C4⋊Dic3)⋊40C2 = C6.732- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):40C2192,1170
(C2×C4⋊Dic3)⋊41C2 = C6.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):41C2192,1177
(C2×C4⋊Dic3)⋊42C2 = C6.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):42C2192,1194
(C2×C4⋊Dic3)⋊43C2 = C6.772- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):43C2192,1201
(C2×C4⋊Dic3)⋊44C2 = C2×D4×Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):44C2192,1354
(C2×C4⋊Dic3)⋊45C2 = C2×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):45C2192,1359
(C2×C4⋊Dic3)⋊46C2 = C2×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):46C2192,1372
(C2×C4⋊Dic3)⋊47C2 = C6.1442+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):47C2192,1386
(C2×C4⋊Dic3)⋊48C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3):48C2192,1392
(C2×C4⋊Dic3)⋊49C2 = C2×C4×D12φ: trivial image96(C2xC4:Dic3):49C2192,1032
(C2×C4⋊Dic3)⋊50C2 = C2×C23.26D6φ: trivial image96(C2xC4:Dic3):50C2192,1345

Non-split extensions G=N.Q with N=C2×C4⋊Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic3).1C2 = C12.9C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).1C2192,110
(C2×C4⋊Dic3).2C2 = C6.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).2C2192,206
(C2×C4⋊Dic3).3C2 = C2.(C4×D12)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).3C2192,212
(C2×C4⋊Dic3).4C2 = C2.(C4×Dic6)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).4C2192,213
(C2×C4⋊Dic3).5C2 = Dic3⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).5C2192,214
(C2×C4⋊Dic3).6C2 = (C2×C4)⋊Dic6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).6C2192,215
(C2×C4⋊Dic3).7C2 = C6.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).7C2192,216
(C2×C4⋊Dic3).8C2 = (C2×C4).17D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).8C2192,218
(C2×C4⋊Dic3).9C2 = (C2×C4).Dic6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).9C2192,219
(C2×C4⋊Dic3).10C2 = (C22×C4).85D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).10C2192,220
(C2×C4⋊Dic3).11C2 = C23.39D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).11C2192,280
(C2×C4⋊Dic3).12C2 = C23.40D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).12C2192,281
(C2×C4⋊Dic3).13C2 = C12⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).13C2192,487
(C2×C4⋊Dic3).14C2 = (C2×Dic6)⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).14C2192,488
(C2×C4⋊Dic3).15C2 = C42⋊10Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).15C2192,494
(C2×C4⋊Dic3).16C2 = C42⋊11Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).16C2192,495
(C2×C4⋊Dic3).17C2 = C4⋊C4⋊5Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).17C2192,539
(C2×C4⋊Dic3).18C2 = (C2×C4).44D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).18C2192,540
(C2×C4⋊Dic3).19C2 = (C2×C12).54D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).19C2192,541
(C2×C4⋊Dic3).20C2 = (C2×C12).55D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).20C2192,545
(C2×C4⋊Dic3).21C2 = C2×C2.Dic12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).21C2192,662
(C2×C4⋊Dic3).22C2 = C2×C8⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).22C2192,663
(C2×C4⋊Dic3).23C2 = C2×C24⋊1C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).23C2192,664
(C2×C4⋊Dic3).24C2 = C2×C12⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).24C2192,1027
(C2×C4⋊Dic3).25C2 = C2×C12.6Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).25C2192,1028
(C2×C4⋊Dic3).26C2 = C2×Dic3.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).26C2192,1057
(C2×C4⋊Dic3).27C2 = C12.C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).27C2192,88
(C2×C4⋊Dic3).28C2 = M4(2)⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).28C2192,113
(C2×C4⋊Dic3).29C2 = C2×C6.Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).29C2192,521
(C2×C4⋊Dic3).30C2 = C2×C12.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).30C2192,522
(C2×C4⋊Dic3).31C2 = C12⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).31C2192,531
(C2×C4⋊Dic3).32C2 = Dic3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).32C2192,533
(C2×C4⋊Dic3).33C2 = (C4×Dic3)⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).33C2192,534
(C2×C4⋊Dic3).34C2 = (C4×Dic3)⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).34C2192,536
(C2×C4⋊Dic3).35C2 = C4⋊C4⋊6Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).35C2192,543
(C2×C4⋊Dic3).36C2 = C4⋊C4.232D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).36C2192,554
(C2×C4⋊Dic3).37C2 = (C2×Q8).49D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).37C2192,602
(C2×C4⋊Dic3).38C2 = (C2×C6).Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).38C2192,603
(C2×C4⋊Dic3).39C2 = C23.52D12φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).39C2192,680
(C2×C4⋊Dic3).40C2 = C2×Q8⋊2Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).40C2192,783
(C2×C4⋊Dic3).41C2 = (C6×Q8)⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).41C2192,788
(C2×C4⋊Dic3).42C2 = C2×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).42C2192,1056
(C2×C4⋊Dic3).43C2 = C2×C4.Dic6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).43C2192,1058
(C2×C4⋊Dic3).44C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic396(C2xC4:Dic3).44C2192,1078
(C2×C4⋊Dic3).45C2 = C2×Q8×Dic3φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic3192(C2xC4:Dic3).45C2192,1370
(C2×C4⋊Dic3).46C2 = C4×C4⋊Dic3φ: trivial image192(C2xC4:Dic3).46C2192,493
(C2×C4⋊Dic3).47C2 = C2×C4×Dic6φ: trivial image192(C2xC4:Dic3).47C2192,1026

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