Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
682 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19135585 | C2 | semidirect |
| 3. #19133332 | C2 | semidirect |
| 4. #19133189 | C2 | semidirect |
| 7. C43×#1997 | C2 | semidirect |
| 217. #1997 | D43 | semidirect |
| 254. C43 | #8474 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148479 | 2 |
| #19135585 | 2 |
| #19133332 | 2 |
| #19133189 | 2 |
| #19133035 | 2 |
| #19133032 | 2 |
| C43×#1997 | 2 |
| #8474 | 43 |