Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
286 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 1. #19136407 | C2 | semidirect |
| 2. #19134744 | C2 | semidirect |
| 3. #19132589 | C2 | semidirect |
| 5. #19132583 | C2 | semidirect |
| 17. C43×#499 | C4 | semidirect |
| 18. C43×#495 | C4 | semidirect |
| 23. C43×#442 | C4 | semidirect |
| 24. C43×#441 | C4 | semidirect |
| 148. #499 | Dic43 | semidirect |
| 149. #495 | Dic43 | semidirect |
| 154. #442 | Dic43 | semidirect |
| 155. #441 | Dic43 | semidirect |
| 166. C43 | #11836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136407 | 2 |
| #19134744 | 2 |
| #19132589 | 2 |
| #19132586 | 2 |
| #19132583 | 2 |
| #19132580 | 2 |
| C43×#3183 | 2 |
| #11836 | 43 |