Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #19135571 | C2 | semidirect |
| 5. #19133017 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1299 | C2 | semidirect |
| 11. #14583185 | C4 | semidirect |
| 12. #14583180 | C4 | semidirect |
| 13. #14583110 | C4 | semidirect |
| 14. #14583105 | C4 | semidirect |
| 206. #1299 | D43 | semidirect |
| 238. C43 | #8971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144667 | 2 |
| #19143721 | 2 |
| #19135571 | 2 |
| C4×#13063251 | 2 |
| #19133017 | 2 |
| #19132427 | 2 |
| C43×#1299 | 2 |
| #8971 | 43 |