# Extensions 1→N→G→Q→1 with N=C3×M4(2) and Q=C22

Direct product G=N×Q with N=C3×M4(2) and Q=C22
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C3×M4(2) and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×M4(2))⋊1C22 = S3×C8⋊C22φ: C22/C1C22 ⊆ Out C3×M4(2)248+(C3xM4(2)):1C2^2192,1331
(C3×M4(2))⋊2C22 = D84D6φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)):2C2^2192,1332
(C3×M4(2))⋊3C22 = D85D6φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)):3C2^2192,1333
(C3×M4(2))⋊4C22 = D86D6φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)):4C2^2192,1334
(C3×M4(2))⋊5C22 = S3×C8.C22φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)):5C2^2192,1335
(C3×M4(2))⋊6C22 = D24⋊C22φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)):6C2^2192,1336
(C3×M4(2))⋊7C22 = C24.C23φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)):7C2^2192,1337
(C3×M4(2))⋊8C22 = M4(2)⋊D6φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)):8C2^2192,305
(C3×M4(2))⋊9C22 = D121D4φ: C22/C1C22 ⊆ Out C3×M4(2)248+(C3xM4(2)):9C2^2192,306
(C3×M4(2))⋊10C22 = Q85D12φ: C22/C1C22 ⊆ Out C3×M4(2)244+(C3xM4(2)):10C2^2192,381
(C3×M4(2))⋊11C22 = C425D6φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)):11C2^2192,384
(C3×M4(2))⋊12C22 = D1218D4φ: C22/C1C22 ⊆ Out C3×M4(2)248+(C3xM4(2)):12C2^2192,757
(C3×M4(2))⋊13C22 = D12.39D4φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)):13C2^2192,761
(C3×M4(2))⋊14C22 = C3×D44D4φ: C22/C1C22 ⊆ Out C3×M4(2)244(C3xM4(2)):14C2^2192,886
(C3×M4(2))⋊15C22 = C3×D4.9D4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)):15C2^2192,888
(C3×M4(2))⋊16C22 = S3×C4.D4φ: C22/C1C22 ⊆ Out C3×M4(2)248+(C3xM4(2)):16C2^2192,303
(C3×M4(2))⋊17C22 = S3×C4≀C2φ: C22/C1C22 ⊆ Out C3×M4(2)244(C3xM4(2)):17C2^2192,379
(C3×M4(2))⋊18C22 = C423D6φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)):18C2^2192,380
(C3×M4(2))⋊19C22 = C2×C8⋊D6φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):19C2^2192,1305
(C3×M4(2))⋊20C22 = C2×C8.D6φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):20C2^2192,1306
(C3×M4(2))⋊21C22 = C24.9C23φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):21C2^2192,1307
(C3×M4(2))⋊22C22 = D4.11D12φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):22C2^2192,1310
(C3×M4(2))⋊23C22 = D4.12D12φ: C22/C2C2 ⊆ Out C3×M4(2)484+(C3xM4(2)):23C2^2192,1311
(C3×M4(2))⋊24C22 = C6×C8⋊C22φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):24C2^2192,1462
(C3×M4(2))⋊25C22 = C6×C8.C22φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):25C2^2192,1463
(C3×M4(2))⋊26C22 = C3×D8⋊C22φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):26C2^2192,1464
(C3×M4(2))⋊27C22 = C3×D4○D8φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):27C2^2192,1465
(C3×M4(2))⋊28C22 = C3×D4○SD16φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):28C2^2192,1466
(C3×M4(2))⋊29C22 = C2×S3×M4(2)φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):29C2^2192,1302
(C3×M4(2))⋊30C22 = C2×D12.C4φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)):30C2^2192,1303
(C3×M4(2))⋊31C22 = M4(2)⋊26D6φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):31C2^2192,1304
(C3×M4(2))⋊32C22 = S3×C8○D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):32C2^2192,1308
(C3×M4(2))⋊33C22 = M4(2)⋊28D6φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):33C2^2192,1309
(C3×M4(2))⋊34C22 = C2×C12.46D4φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):34C2^2192,689
(C3×M4(2))⋊35C22 = C2×D12⋊C4φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):35C2^2192,697
(C3×M4(2))⋊36C22 = M4(2)⋊24D6φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):36C2^2192,698
(C3×M4(2))⋊37C22 = C6×C4.D4φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):37C2^2192,844
(C3×M4(2))⋊38C22 = C6×C4≀C2φ: C22/C2C2 ⊆ Out C3×M4(2)48(C3xM4(2)):38C2^2192,853
(C3×M4(2))⋊39C22 = C3×C42⋊C22φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)):39C2^2192,854
(C3×M4(2))⋊40C22 = C6×C8○D4φ: trivial image96(C3xM4(2)):40C2^2192,1456
(C3×M4(2))⋊41C22 = C3×Q8○M4(2)φ: trivial image484(C3xM4(2)):41C2^2192,1457

Non-split extensions G=N.Q with N=C3×M4(2) and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×M4(2)).1C22 = SD16.D6φ: C22/C1C22 ⊆ Out C3×M4(2)968-(C3xM4(2)).1C2^2192,1338
(C3×M4(2)).2C22 = D12.4D4φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).2C2^2192,311
(C3×M4(2)).3C22 = D12.5D4φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).3C2^2192,312
(C3×M4(2)).4C22 = Q8.14D12φ: C22/C1C22 ⊆ Out C3×M4(2)484-(C3xM4(2)).4C2^2192,385
(C3×M4(2)).5C22 = D4.10D12φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).5C2^2192,386
(C3×M4(2)).6C22 = C24.18D4φ: C22/C1C22 ⊆ Out C3×M4(2)964-(C3xM4(2)).6C2^2192,455
(C3×M4(2)).7C22 = C24.19D4φ: C22/C1C22 ⊆ Out C3×M4(2)484+(C3xM4(2)).7C2^2192,456
(C3×M4(2)).8C22 = C24.42D4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).8C2^2192,457
(C3×M4(2)).9C22 = M4(2).D6φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).9C2^2192,758
(C3×M4(2)).10C22 = M4(2).13D6φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).10C2^2192,759
(C3×M4(2)).11C22 = D12.38D4φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).11C2^2192,760
(C3×M4(2)).12C22 = M4(2).15D6φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).12C2^2192,762
(C3×M4(2)).13C22 = M4(2).16D6φ: C22/C1C22 ⊆ Out C3×M4(2)968-(C3xM4(2)).13C2^2192,763
(C3×M4(2)).14C22 = D12.40D4φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).14C2^2192,764
(C3×M4(2)).15C22 = C3×D4.8D4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).15C2^2192,887
(C3×M4(2)).16C22 = C3×D4.10D4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).16C2^2192,889
(C3×M4(2)).17C22 = M4(2).19D6φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).17C2^2192,304
(C3×M4(2)).18C22 = D12.2D4φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).18C2^2192,307
(C3×M4(2)).19C22 = D12.3D4φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).19C2^2192,308
(C3×M4(2)).20C22 = S3×C4.10D4φ: C22/C1C22 ⊆ Out C3×M4(2)488-(C3xM4(2)).20C2^2192,309
(C3×M4(2)).21C22 = M4(2).21D6φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).21C2^2192,310
(C3×M4(2)).22C22 = D12.6D4φ: C22/C1C22 ⊆ Out C3×M4(2)488+(C3xM4(2)).22C2^2192,313
(C3×M4(2)).23C22 = D12.7D4φ: C22/C1C22 ⊆ Out C3×M4(2)968-(C3xM4(2)).23C2^2192,314
(C3×M4(2)).24C22 = M4(2).22D6φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).24C2^2192,382
(C3×M4(2)).25C22 = C42.196D6φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).25C2^2192,383
(C3×M4(2)).26C22 = S3×C8.C4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).26C2^2192,451
(C3×M4(2)).27C22 = M4(2).25D6φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).27C2^2192,452
(C3×M4(2)).28C22 = D2410C4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).28C2^2192,453
(C3×M4(2)).29C22 = D247C4φ: C22/C1C22 ⊆ Out C3×M4(2)484(C3xM4(2)).29C2^2192,454
(C3×M4(2)).30C22 = D4.13D12φ: C22/C2C2 ⊆ Out C3×M4(2)964-(C3xM4(2)).30C2^2192,1312
(C3×M4(2)).31C22 = C3×Q8○D8φ: C22/C2C2 ⊆ Out C3×M4(2)964(C3xM4(2)).31C2^2192,1467
(C3×M4(2)).32C22 = C2×C12.53D4φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).32C2^2192,682
(C3×M4(2)).33C22 = C23.8Dic6φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).33C2^2192,683
(C3×M4(2)).34C22 = M4(2).31D6φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).34C2^2192,691
(C3×M4(2)).35C22 = C2×C12.47D4φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).35C2^2192,695
(C3×M4(2)).36C22 = Q8.8D12φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).36C2^2192,700
(C3×M4(2)).37C22 = Q8.9D12φ: C22/C2C2 ⊆ Out C3×M4(2)484+(C3xM4(2)).37C2^2192,701
(C3×M4(2)).38C22 = Q8.10D12φ: C22/C2C2 ⊆ Out C3×M4(2)964-(C3xM4(2)).38C2^2192,702
(C3×M4(2)).39C22 = C24.100D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).39C2^2192,703
(C3×M4(2)).40C22 = C24.54D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).40C2^2192,704
(C3×M4(2)).41C22 = C6×C4.10D4φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).41C2^2192,845
(C3×M4(2)).42C22 = C3×M4(2).8C22φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).42C2^2192,846
(C3×M4(2)).43C22 = C6×C8.C4φ: C22/C2C2 ⊆ Out C3×M4(2)96(C3xM4(2)).43C2^2192,862
(C3×M4(2)).44C22 = C3×M4(2).C4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).44C2^2192,863
(C3×M4(2)).45C22 = C3×C8○D8φ: C22/C2C2 ⊆ Out C3×M4(2)482(C3xM4(2)).45C2^2192,876
(C3×M4(2)).46C22 = C3×C8.26D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).46C2^2192,877
(C3×M4(2)).47C22 = C3×D4.3D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).47C2^2192,904
(C3×M4(2)).48C22 = C3×D4.4D4φ: C22/C2C2 ⊆ Out C3×M4(2)484(C3xM4(2)).48C2^2192,905
(C3×M4(2)).49C22 = C3×D4.5D4φ: C22/C2C2 ⊆ Out C3×M4(2)964(C3xM4(2)).49C2^2192,906

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