Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
454 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19132453 | C2 | semidirect |
| 4. #19132428 | C2 | semidirect |
| 5. C43×#2862 | C2 | semidirect |
| 19. #13063325 | Q8 | semidirect |
| 20. #13063322 | Q8 | semidirect |
| 122. #2862 | D43 | semidirect |
| 143. C43 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135423 | 2 |
| #19133154 | 2 |
| #19132453 | 2 |
| #19132428 | 2 |
| C43×#2862 | 2 |
| #10362 | 43 |