Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
824 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 824 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19140070 | C2 | semidirect |
| 3. #19137926 | C2 | semidirect |
| 4. #19133125 | C2 | semidirect |
| 5. #19132924 | C2 | semidirect |
| 6. #19132448 | C2 | semidirect |
| 7. C43×#1789 | C2 | semidirect |
| 257. #1789 | D43 | semidirect |
| 294. C43 | #9939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143847 | 2 |
| #19140070 | 2 |
| #19137926 | 2 |
| #19133125 | 2 |
| #19132924 | 2 |
| #19132448 | 2 |
| C43×#1789 | 2 |
| #9939 | 43 |