Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19135572 | C2 | semidirect |
| 4. #19133354 | C2 | semidirect |
| 5. #19133051 | C2 | semidirect |
| 7. C43×#1744 | C2 | semidirect |
| 10. #14583297 | C4 | semidirect |
| 11. #14583272 | C4 | semidirect |
| 12. #14583250 | C4 | semidirect |
| 13. #14583246 | C4 | semidirect |
| 163. #1744 | D43 | semidirect |
| 191. C43 | #9854 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145154 | 2 |
| #19135572 | 2 |
| #19135423 | 2 |
| #19133354 | 2 |
| #19133051 | 2 |
| #19133047 | 2 |
| C43×#1744 | 2 |
| #9854 | 43 |