Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
772 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 772 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 |
|---|---|---|
| 2. #19143643 | C2 | semidirect |
| 3. #19134525 | C2 | semidirect |
| 4. #19134515 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132471 | C2 | semidirect |
| 7. C43×#1513 | C2 | semidirect |
| 11. #14583049 | C4 | semidirect |
| 13. #14583032 | C4 | semidirect |
| 270. #1513 | D43 | semidirect |
| 307. C43 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143821 | 2 |
| #19143643 | 2 |
| #19134525 | 2 |
| #19134515 | 2 |
| #19132501 | 2 |
| #19132471 | 2 |
| C43×#1513 | 2 |
| #9520 | 43 |