Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19136958 | C2 | semidirect |
| 5. #19133043 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 12. #14583195 | C4 | semidirect |
| 13. #14583100 | C4 | semidirect |
| 153. Dic86 | #104 | semidirect |
| 183. #1300 | D43 | semidirect |
| 212. C43 | #9326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144718 | 2 |
| #19136958 | 2 |
| #19135514 | 2 |
| #19133102 | 2 |
| #19133043 | 2 |
| #19132452 | 2 |
| C43×#1300 | 2 |
| #9326 | 43 |