Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
682 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19135534 | C2 | semidirect |
| 3. #19133293 | C2 | semidirect |
| 4. #19133211 | C2 | semidirect |
| 6. #19132938 | C2 | semidirect |
| 237. C43 | #8461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148457 | 2 |
| #19135534 | 2 |
| #19133293 | 2 |
| #19133211 | 2 |
| #19133206 | 2 |
| #19132938 | 2 |
| C43×#1551 | 2 |
| #8461 | 43 |