Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
712 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 712 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. #19143045 | C2 | semidirect |
| 3. #19134540 | C2 | semidirect |
| 4. #19132955 | C2 | semidirect |
| 5. #19132471 | C2 | semidirect |
| 6. #19132443 | C2 | semidirect |
| 7. C43×#1507 | C2 | semidirect |
| 9. C22×#10621883 | C4 | semidirect |
| 10. C22×#10621882 | C4 | semidirect |
| 18. C2×#13063248 | C4 | semidirect |
| 19. C2×#13063245 | C4 | semidirect |
| 275. #1507 | D43 | semidirect |
| 314. C43 | #9241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583042 | 2 |
| #19143045 | 2 |
| #19134540 | 2 |
| #19132955 | 2 |
| #19132471 | 2 |
| #19132443 | 2 |
| C43×#1507 | 2 |
| #9241 | 43 |