Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136280 | C2 | semidirect |
| 3. #19132754 | C2 | semidirect |
| 4. #19132751 | C2 | semidirect |
| 5. C43×#2126 | C2 | semidirect |
| 8. #14583449 | C4 | semidirect |
| 9. #14583294 | C4 | semidirect |
| 12. #14583289 | C4 | semidirect |
| 16. C2×#13063236 | C4 | semidirect |
| 169. #2126 | D43 | semidirect |
| 195. C43 | #13577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145040 | 2 |
| #19136280 | 2 |
| #19132754 | 2 |
| #19132751 | 2 |
| C43×#2126 | 2 |
| #13577 | 43 |