Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
508 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19137315 | C2 | semidirect |
| 5. #19132455 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1546 | C2 | semidirect |
| 10. #14583302 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 185. #1546 | D43 | semidirect |
| 214. C43 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145716 | 2 |
| #19137315 | 2 |
| #19135426 | 2 |
| #19133156 | 2 |
| #19132455 | 2 |
| #19132423 | 2 |
| C43×#1546 | 2 |
| #9300 | 43 |