Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19135513 | C2 | semidirect |
| 3. #19133089 | C2 | semidirect |
| 4. #19132884 | C2 | semidirect |
| 5. C4×#106×C43 | C2 | semidirect |
| 7. #14583304 | C4 | semidirect |
| 8. #14583276 | C4 | semidirect |
| 9. #14583246 | C4 | semidirect |
| 117. C8×C43 | #104 | semidirect |
| 139. C4×#106 | D43 | semidirect |
| 165. C43 | #9721 | semidirect |
| 261. C8 | #13063253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| #19135513 | 2 |
| #19133089 | 2 |
| #19132884 | 2 |
| C4×#106×C43 | 2 |
| #9721 | 43 |