Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19133211 | C2 | semidirect |
| 4. #19133160 | C2 | semidirect |
| 6. #19132477 | C2 | semidirect |
| 7. C43×#1302 | C2 | semidirect |
| 10. #14583308 | C4 | semidirect |
| 11. #14583293 | C4 | semidirect |
| 12. #14583268 | C4 | semidirect |
| 13. #14583259 | C4 | semidirect |
| 198. #1302 | D43 | semidirect |
| 233. C43 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145304 | 2 |
| #19143584 | 2 |
| #19133211 | 2 |
| #19133160 | 2 |
| #19133134 | 2 |
| #19132477 | 2 |
| C43×#1302 | 2 |
| #9431 | 43 |