Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1198 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1198 conjugacy classes of subgroups — too many to draw. Only its 183 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. #19144682 | C2 | semidirect |
| 2. #19137878 | C2 | semidirect |
| 3. #19133632 | C2 | semidirect |
| 4. #19133530 | C2 | semidirect |
| 5. #19133103 | C2 | semidirect |
| 6. #19132939 | C2 | semidirect |
| 7. C43×#3497 | C2 | semidirect |
| 193. #3497 | D43 | semidirect |
| 230. C43 | #18186 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144682 | 2 |
| #19137878 | 2 |
| #19133632 | 2 |
| #19133530 | 2 |
| #19133103 | 2 |
| #19132939 | 2 |
| C43×#3497 | 2 |
| #18186 | 43 |