Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135434 | C2 | semidirect |
| 3. #19133308 | C2 | semidirect |
| 4. #19133202 | C2 | semidirect |
| 5. #19132506 | C2 | semidirect |
| 6. #19132466 | C2 | semidirect |
| 7. C43×#2995 | C2 | semidirect |
| 198. #2995 | D43 | semidirect |
| 235. C43 | #9340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145610 | 2 |
| #19135434 | 2 |
| #19133308 | 2 |
| #19133202 | 2 |
| #19132506 | 2 |
| #19132466 | 2 |
| C43×#2995 | 2 |
| #9340 | 43 |