Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
564 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19145533 | C2 | semidirect |
| 3. #19135419 | C2 | semidirect |
| 4. #19133159 | C2 | semidirect |
| 5. #19133155 | C2 | semidirect |
| 6. #19132440 | C2 | semidirect |
| 7. C43×#3135 | C2 | semidirect |
| 192. #3135 | D43 | semidirect |
| 227. C43 | #10219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145533 | 2 |
| #19145510 | 2 |
| #19135419 | 2 |
| #19133159 | 2 |
| #19133155 | 2 |
| #19132440 | 2 |
| C43×#3135 | 2 |
| #10219 | 43 |