Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19136805 | C2 | semidirect |
| 3. #19136799 | C2 | semidirect |
| 4. #19136756 | C2 | semidirect |
| 5. #19136704 | C2 | semidirect |
| 6. C4×Dic344 | C2 | semidirect |
| 8. #19136382 | C2 | semidirect |
| 9. C43×#2253 | C2 | semidirect |
| 130. #2253 | D43 | semidirect |
| 167. C43 | #33919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146962 | 2 |
| #19136805 | 2 |
| #19136799 | 2 |
| #19136756 | 2 |
| #19136704 | 2 |
| C4×Dic344 | 2 |
| #19136428 | 2 |
| #19136382 | 2 |
| C43×#2253 | 2 |
| #33919 | 43 |