Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19143610 | C2 | semidirect |
| 3. #19133027 | C2 | semidirect |
| 4. #19132947 | C2 | semidirect |
| 5. #19132505 | C2 | semidirect |
| 6. #19132485 | C2 | semidirect |
| 7. C43×#1527 | C2 | semidirect |
| 204. #1527 | D43 | semidirect |
| 240. C43 | #9349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144085 | 2 |
| #19143610 | 2 |
| #19133027 | 2 |
| #19132947 | 2 |
| #19132505 | 2 |
| #19132485 | 2 |
| C43×#1527 | 2 |
| #9349 | 43 |