Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
732 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135575 | C2 | semidirect |
| 3. #19133315 | C2 | semidirect |
| 4. #19133232 | C2 | semidirect |
| 5. #19133104 | C2 | semidirect |
| 6. #19133103 | C2 | semidirect |
| 7. C43×#1557 | C2 | semidirect |
| 13. #14583554 | C4 | semidirect |
| 14. #14583553 | C4 | semidirect |
| 215. #1557 | D43 | semidirect |
| 250. C43 | #8494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148993 | 2 |
| #19135575 | 2 |
| #19133315 | 2 |
| #19133232 | 2 |
| #19133104 | 2 |
| #19133103 | 2 |
| C43×#1557 | 2 |
| #8494 | 43 |