Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1072 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 175 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. #19145144 | C2 | semidirect |
| 3. #19144413 | C2 | semidirect |
| 4. #19135805 | C2 | semidirect |
| 5. #19135576 | C2 | semidirect |
| 6. #19135436 | C2 | semidirect |
| 7. #19134804 | C2 | semidirect |
| 8. #19134406 | C2 | semidirect |
| 9. C43×#2641 | C2 | semidirect |
| 137. #10621877 | #41 | semidirect |
| 198. #2641 | D43 | semidirect |
| 236. C43 | #25690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148469 | 2 |
| #19145144 | 2 |
| #19144413 | 2 |
| #19135805 | 2 |
| #19135576 | 2 |
| #19135436 | 2 |
| #19134804 | 2 |
| #19134406 | 2 |
| C43×#2641 | 2 |
| #25690 | 43 |