Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1004 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 1. #19149009 | C2 | semidirect |
| 2. #19145538 | C2 | semidirect |
| 4. #19133674 | C2 | semidirect |
| 5. #19133655 | C2 | semidirect |
| 6. #19133015 | C2 | semidirect |
| 7. C43×#1543 | C2 | semidirect |
| 10. #14583635 | C22 | semidirect |
| 11. #14583629 | C22 | semidirect |
| 26. #14582629 | C22 | semidirect |
| 29. C43×#333 | C22 | semidirect |
| 30. C43×#331 | C22 | semidirect |
| 168. #1543 | D43 | semidirect |
| 195. #333 | C2×D43 | semidirect |
| 196. #331 | C2×D43 | semidirect |
| 198. C43 | #18718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149009 | 2 |
| #19145538 | 2 |
| #19145048 | 2 |
| #19133674 | 2 |
| #19133655 | 2 |
| #19133015 | 2 |
| C43×#1543 | 2 |
| #18718 | 43 |