Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=M4(2) and Q=D6

Direct product G=N×Q with N=M4(2) and Q=D6
dρLabelID
C2×S3×M4(2)48C2xS3xM4(2)192,1302

Semidirect products G=N:Q with N=M4(2) and Q=D6
extensionφ:Q→Out NdρLabelID
M4(2)⋊1D6 = M4(2)⋊D6φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2):1D6192,305
M4(2)⋊2D6 = D12⋊1D4φ: D6/C3 → C22 ⊆ Out M4(2)248+M4(2):2D6192,306
M4(2)⋊3D6 = Q8⋊5D12φ: D6/C3 → C22 ⊆ Out M4(2)244+M4(2):3D6192,381
M4(2)⋊4D6 = C42⋊5D6φ: D6/C3 → C22 ⊆ Out M4(2)484M4(2):4D6192,384
M4(2)⋊5D6 = D12⋊18D4φ: D6/C3 → C22 ⊆ Out M4(2)248+M4(2):5D6192,757
M4(2)⋊6D6 = D12.39D4φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2):6D6192,761
M4(2)⋊7D6 = S3×C8⋊C22φ: D6/S3 → C2 ⊆ Out M4(2)248+M4(2):7D6192,1331
M4(2)⋊8D6 = D8⋊4D6φ: D6/S3 → C2 ⊆ Out M4(2)488-M4(2):8D6192,1332
M4(2)⋊9D6 = D8⋊5D6φ: D6/S3 → C2 ⊆ Out M4(2)488+M4(2):9D6192,1333
M4(2)⋊10D6 = D8⋊6D6φ: D6/S3 → C2 ⊆ Out M4(2)488-M4(2):10D6192,1334
M4(2)⋊11D6 = S3×C8.C22φ: D6/S3 → C2 ⊆ Out M4(2)488-M4(2):11D6192,1335
M4(2)⋊12D6 = D24⋊C22φ: D6/S3 → C2 ⊆ Out M4(2)488+M4(2):12D6192,1336
M4(2)⋊13D6 = C24.C23φ: D6/S3 → C2 ⊆ Out M4(2)488+M4(2):13D6192,1337
M4(2)⋊14D6 = S3×C4.D4φ: D6/S3 → C2 ⊆ Out M4(2)248+M4(2):14D6192,303
M4(2)⋊15D6 = S3×C4≀C2φ: D6/S3 → C2 ⊆ Out M4(2)244M4(2):15D6192,379
M4(2)⋊16D6 = C42⋊3D6φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2):16D6192,380
M4(2)⋊17D6 = C2×C8⋊D6φ: D6/C6 → C2 ⊆ Out M4(2)48M4(2):17D6192,1305
M4(2)⋊18D6 = C2×C8.D6φ: D6/C6 → C2 ⊆ Out M4(2)96M4(2):18D6192,1306
M4(2)⋊19D6 = C24.9C23φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2):19D6192,1307
M4(2)⋊20D6 = D4.11D12φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2):20D6192,1310
M4(2)⋊21D6 = D4.12D12φ: D6/C6 → C2 ⊆ Out M4(2)484+M4(2):21D6192,1311
M4(2)⋊22D6 = C2×C12.46D4φ: D6/C6 → C2 ⊆ Out M4(2)48M4(2):22D6192,689
M4(2)⋊23D6 = C2×D12⋊C4φ: D6/C6 → C2 ⊆ Out M4(2)48M4(2):23D6192,697
M4(2)⋊24D6 = M4(2)⋊24D6φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2):24D6192,698
M4(2)⋊25D6 = C2×D12.C4φ: trivial image96M4(2):25D6192,1303
M4(2)⋊26D6 = M4(2)⋊26D6φ: trivial image484M4(2):26D6192,1304
M4(2)⋊27D6 = S3×C8○D4φ: trivial image484M4(2):27D6192,1308
M4(2)⋊28D6 = M4(2)⋊28D6φ: trivial image484M4(2):28D6192,1309

Non-split extensions G=N.Q with N=M4(2) and Q=D6
extensionφ:Q→Out NdρLabelID
M4(2).1D6 = D12.2D4φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2).1D6192,307
M4(2).2D6 = D12.3D4φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2).2D6192,308
M4(2).3D6 = D12.4D4φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2).3D6192,311
M4(2).4D6 = D12.5D4φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2).4D6192,312
M4(2).5D6 = D12.6D4φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2).5D6192,313
M4(2).6D6 = D12.7D4φ: D6/C3 → C22 ⊆ Out M4(2)968-M4(2).6D6192,314
M4(2).7D6 = Q8.14D12φ: D6/C3 → C22 ⊆ Out M4(2)484-M4(2).7D6192,385
M4(2).8D6 = D4.10D12φ: D6/C3 → C22 ⊆ Out M4(2)484M4(2).8D6192,386
M4(2).9D6 = C24.18D4φ: D6/C3 → C22 ⊆ Out M4(2)964-M4(2).9D6192,455
M4(2).10D6 = C24.19D4φ: D6/C3 → C22 ⊆ Out M4(2)484+M4(2).10D6192,456
M4(2).11D6 = C24.42D4φ: D6/C3 → C22 ⊆ Out M4(2)484M4(2).11D6192,457
M4(2).12D6 = M4(2).D6φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2).12D6192,758
M4(2).13D6 = M4(2).13D6φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2).13D6192,759
M4(2).14D6 = D12.38D4φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2).14D6192,760
M4(2).15D6 = M4(2).15D6φ: D6/C3 → C22 ⊆ Out M4(2)488+M4(2).15D6192,762
M4(2).16D6 = M4(2).16D6φ: D6/C3 → C22 ⊆ Out M4(2)968-M4(2).16D6192,763
M4(2).17D6 = D12.40D4φ: D6/C3 → C22 ⊆ Out M4(2)488-M4(2).17D6192,764
M4(2).18D6 = SD16.D6φ: D6/S3 → C2 ⊆ Out M4(2)968-M4(2).18D6192,1338
M4(2).19D6 = M4(2).19D6φ: D6/S3 → C2 ⊆ Out M4(2)488-M4(2).19D6192,304
M4(2).20D6 = S3×C4.10D4φ: D6/S3 → C2 ⊆ Out M4(2)488-M4(2).20D6192,309
M4(2).21D6 = M4(2).21D6φ: D6/S3 → C2 ⊆ Out M4(2)488+M4(2).21D6192,310
M4(2).22D6 = M4(2).22D6φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).22D6192,382
M4(2).23D6 = C42.196D6φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).23D6192,383
M4(2).24D6 = S3×C8.C4φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).24D6192,451
M4(2).25D6 = M4(2).25D6φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).25D6192,452
M4(2).26D6 = D24⋊10C4φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).26D6192,453
M4(2).27D6 = D24⋊7C4φ: D6/S3 → C2 ⊆ Out M4(2)484M4(2).27D6192,454
M4(2).28D6 = D4.13D12φ: D6/C6 → C2 ⊆ Out M4(2)964-M4(2).28D6192,1312
M4(2).29D6 = C2×C12.53D4φ: D6/C6 → C2 ⊆ Out M4(2)96M4(2).29D6192,682
M4(2).30D6 = C23.8Dic6φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2).30D6192,683
M4(2).31D6 = M4(2).31D6φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2).31D6192,691
M4(2).32D6 = C2×C12.47D4φ: D6/C6 → C2 ⊆ Out M4(2)96M4(2).32D6192,695
M4(2).33D6 = Q8.8D12φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2).33D6192,700
M4(2).34D6 = Q8.9D12φ: D6/C6 → C2 ⊆ Out M4(2)484+M4(2).34D6192,701
M4(2).35D6 = Q8.10D12φ: D6/C6 → C2 ⊆ Out M4(2)964-M4(2).35D6192,702
M4(2).36D6 = C24.100D4φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2).36D6192,703
M4(2).37D6 = C24.54D4φ: D6/C6 → C2 ⊆ Out M4(2)484M4(2).37D6192,704

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁