Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
312 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19133384 | C2 | semidirect |
| 5. #19132878 | C2 | semidirect |
| 6. #19132485 | C2 | semidirect |
| 7. C43×#1278 | C2 | semidirect |
| 150. #1278 | D43 | semidirect |
| 175. C43 | #9586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19133384 | 2 |
| #19133255 | 2 |
| #19133047 | 2 |
| #19133013 | 2 |
| #19132878 | 2 |
| #19132485 | 2 |
| C43×#1278 | 2 |
| #9586 | 43 |