Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
472 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #19132474 | C2 | semidirect |
| 5. #19132463 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1294 | C2 | semidirect |
| 14. #14582766 | C4 | semidirect |
| 15. #14582761 | C4 | semidirect |
| 19. #14582746 | C4 | semidirect |
| 20. #14582744 | C4 | semidirect |
| 222. #1294 | D43 | semidirect |
| 254. C43 | #8762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137531 | 2 |
| #19134580 | 2 |
| #19132911 | 2 |
| #19132474 | 2 |
| #19132463 | 2 |
| #19132462 | 2 |
| C43×#1294 | 2 |
| #8762 | 43 |