Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19135756 | C2 | semidirect |
| 3. #19133639 | C2 | semidirect |
| 5. #19132623 | C2 | semidirect |
| 7. C43×#1319 | C2 | semidirect |
| 179. #1319 | D43 | semidirect |
| 205. C43 | #12271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139844 | 2 |
| #19135756 | 2 |
| #19133639 | 2 |
| #19133537 | 2 |
| #19132623 | 2 |
| #19132599 | 2 |
| C43×#1319 | 2 |
| #12271 | 43 |