Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19134586 | C2 | semidirect |
| 3. #19132912 | C2 | semidirect |
| 4. #19132602 | C2 | semidirect |
| 5. #19132600 | C2 | semidirect |
| 6. #19132598 | C2 | semidirect |
| 7. C43×#1345 | C2 | semidirect |
| 214. #1345 | D43 | semidirect |
| 242. C43 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139558 | 2 |
| #19134586 | 2 |
| #19132912 | 2 |
| #19132602 | 2 |
| #19132600 | 2 |
| #19132598 | 2 |
| C43×#1345 | 2 |
| #11884 | 43 |