Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
704 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 704 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 |
|---|---|---|
| 2. #19143041 | C2 | semidirect |
| 3. #19134533 | C2 | semidirect |
| 4. #19132955 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C43×#1519 | C2 | semidirect |
| 9. C2×#13063351 | C4 | semidirect |
| 10. C2×#13063351 | C4 | semidirect |
| 16. #14582898 | C4 | semidirect |
| 17. #14582898 | C4 | semidirect |
| 274. #1519 | D43 | semidirect |
| 313. C43 | #9347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143845 | 2 |
| #19143041 | 2 |
| #19134533 | 2 |
| #19132955 | 2 |
| #19132501 | 2 |
| #19132483 | 2 |
| C43×#1519 | 2 |
| #9347 | 43 |