Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1068 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1068 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. C2×#14583615 | C2 | semidirect |
| 2. #19145052 | C2 | semidirect |
| 3. #19144687 | C2 | semidirect |
| 4. #19133741 | C2 | semidirect |
| 5. #19133679 | C2 | semidirect |
| 6. #19133037 | C2 | semidirect |
| 7. C43×#1558 | C2 | semidirect |
| 18. #14583278 | C22 | semidirect |
| 19. #14583273 | C22 | semidirect |
| 21. #14583190 | C22 | semidirect |
| 22. #14583095 | C22 | semidirect |
| 26. #14582626 | C22 | semidirect |
| 29. C43×#333 | C22 | semidirect |
| 167. #1558 | D43 | semidirect |
| 194. #333 | C2×D43 | semidirect |
| 196. C43 | #18547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583615 | 2 |
| #19145052 | 2 |
| #19144687 | 2 |
| #19133741 | 2 |
| #19133679 | 2 |
| #19133037 | 2 |
| C43×#1558 | 2 |
| #18547 | 43 |