Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
768 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 768 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19145343 | C2 | semidirect |
| 2. #19143847 | C2 | semidirect |
| 3. #19134507 | C2 | semidirect |
| 4. #19132956 | C2 | semidirect |
| 5. #19132955 | C2 | semidirect |
| 6. #19132471 | C2 | semidirect |
| 7. C43×#3006 | C2 | semidirect |
| 249. #3006 | D43 | semidirect |
| 288. C43 | #9974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145343 | 2 |
| #19143847 | 2 |
| #19134507 | 2 |
| #19132956 | 2 |
| #19132955 | 2 |
| #19132471 | 2 |
| C43×#3006 | 2 |
| #9974 | 43 |