Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1190 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1190 conjugacy classes of subgroups — too many to draw. Only its 271 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. #19143078 | C2 | semidirect |
| 3. #19136248 | C2 | semidirect |
| 4. #19136234 | C2 | semidirect |
| 5. C43×#2884 | C2 | semidirect |
| 6. C22×Q8×D43 | C4 | semidirect |
| 12. #14583470 | C4 | semidirect |
| 14. #14583406 | C4 | semidirect |
| 16. #14583377 | C4 | semidirect |
| 177. #2884 | D43 | semidirect |
| 205. C43 | #33349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148243 | 2 |
| #19143078 | 2 |
| #19136248 | 2 |
| #19136234 | 2 |
| C43×#2884 | 2 |
| #33349 | 43 |