Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1092 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19135436 | C2 | semidirect |
| 3. #19133328 | C2 | semidirect |
| 4. #19133186 | C2 | semidirect |
| 5. #19133035 | C2 | semidirect |
| 6. #19133032 | C2 | semidirect |
| 7. C43×#1965 | C2 | semidirect |
| 21. #14582923 | C22 | semidirect |
| 23. C4×#10621877 | C22 | semidirect |
| 32. C43×#423 | C22 | semidirect |
| 34. C4×M16×C43 | C22 | semidirect |
| 226. D172 | #100 | semidirect |
| 236. Dic86 | #100 | semidirect |
| 272. #1965 | D43 | semidirect |
| 299. #423 | C2×D43 | semidirect |
| 303. C4×M16 | C2×D43 | semidirect |
| 311. C43 | #8469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148371 | 2 |
| #19135436 | 2 |
| #19133328 | 2 |
| #19133186 | 2 |
| #19133035 | 2 |
| #19133032 | 2 |
| C43×#1965 | 2 |
| #8469 | 43 |