Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
544 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19137515 | C2 | semidirect |
| 5. #19132991 | C2 | semidirect |
| 6. #19132455 | C2 | semidirect |
| 7. C43×#1303 | C2 | semidirect |
| 13. #14583110 | C4 | semidirect |
| 14. #14583100 | C4 | semidirect |
| 201. #1303 | D43 | semidirect |
| 230. C43 | #9180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144069 | 2 |
| #19137515 | 2 |
| #19133156 | 2 |
| #19133089 | 2 |
| #19132991 | 2 |
| #19132455 | 2 |
| C43×#1303 | 2 |
| #9180 | 43 |