Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19133219 | C2 | semidirect |
| 3. #19133102 | C2 | semidirect |
| 4. #19132488 | C2 | semidirect |
| 5. C43×#2372 | C2 | semidirect |
| 9. #14583294 | C4 | semidirect |
| 10. #14583289 | C4 | semidirect |
| 33. #13063325 | C2×C4 | semidirect |
| 34. #13063322 | C2×C4 | semidirect |
| 41. #13063236 | C2×C4 | semidirect |
| 166. #2372 | D43 | semidirect |
| 193. C43 | #9441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145059 | 2 |
| #19133219 | 2 |
| #19133102 | 2 |
| #19132488 | 2 |
| C43×#2372 | 2 |
| #9441 | 43 |