Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
304 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19136408 | C2 | semidirect |
| 3. #19134349 | C2 | semidirect |
| 4. #19132589 | C2 | semidirect |
| 7. C43×#1340 | C2 | semidirect |
| 9. #14583296 | C4 | semidirect |
| 10. #14583284 | C4 | semidirect |
| 14. #14583010 | C4 | semidirect |
| 15. #14583006 | C4 | semidirect |
| 146. #1340 | D43 | semidirect |
| 171. C43 | #11769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145213 | 2 |
| #19136408 | 2 |
| #19134349 | 2 |
| #19132589 | 2 |
| #19132587 | 2 |
| #19132579 | 2 |
| C43×#1340 | 2 |
| #11769 | 43 |