Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
736 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19133298 | C2 | semidirect |
| 3. #19133226 | C2 | semidirect |
| 4. #19133141 | C2 | semidirect |
| 5. #19133141 | C2 | semidirect |
| 6. #19133065 | C2 | semidirect |
| 7. C43×#1521 | C2 | semidirect |
| 9. #14583622 | C4 | semidirect |
| 11. #14583571 | C4 | semidirect |
| 13. #14583554 | C4 | semidirect |
| 16. D4×D172 | C4 | semidirect |
| 24. #14582956 | C22 | semidirect |
| 25. #14582956 | C22 | semidirect |
| 35. C43×#431 | C22 | semidirect |
| 36. C43×#383 | C22 | semidirect |
| 280. #1521 | D43 | semidirect |
| 311. #431 | C2×D43 | semidirect |
| 312. #383 | C2×D43 | semidirect |
| 323. C43 | #8500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148969 | 2 |
| #19133298 | 2 |
| #19133226 | 2 |
| #19133141 | 2 |
| #19133065 | 2 |
| C43×#1521 | 2 |
| #8500 | 43 |