Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
520 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #19133115 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132447 | C2 | semidirect |
| 7. C43×#2378 | C2 | semidirect |
| 9. #14583232 | C4 | semidirect |
| 12. #14583049 | C4 | semidirect |
| 222. #2378 | D43 | semidirect |
| 259. C43 | #9344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145397 | 2 |
| #19135430 | 2 |
| #19133123 | 2 |
| #19133115 | 2 |
| #19132501 | 2 |
| #19132447 | 2 |
| C43×#2378 | 2 |
| #9344 | 43 |