Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19145520 | C2 | semidirect |
| 3. #19135423 | C2 | semidirect |
| 4. #19133276 | C2 | semidirect |
| 5. #19133263 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C43×#2858 | C2 | semidirect |
| 186. #2858 | D43 | semidirect |
| 218. C43 | #10281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145520 | 2 |
| #19145513 | 2 |
| #19135423 | 2 |
| #19133276 | 2 |
| #19133263 | 2 |
| #19132428 | 2 |
| C43×#2858 | 2 |
| #10281 | 43 |