Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19145520 | C2 | semidirect |
| 3. #19135585 | C2 | semidirect |
| 4. #19133186 | C2 | semidirect |
| 5. #19133012 | C2 | semidirect |
| 6. #19132485 | C2 | semidirect |
| 7. C43×#3152 | C2 | semidirect |
| 185. #3152 | D43 | semidirect |
| 219. C43 | #10106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145973 | 2 |
| #19145520 | 2 |
| #19135585 | 2 |
| #19133186 | 2 |
| #19133012 | 2 |
| #19132485 | 2 |
| C43×#3152 | 2 |
| #10106 | 43 |