Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
468 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136266 | C2 | semidirect |
| 3. #19136244 | C2 | semidirect |
| 4. #19134395 | C2 | semidirect |
| 5. C43×#1812 | C2 | semidirect |
| 6. C22×D344 | C4 | semidirect |
| 12. #14582937 | C4 | semidirect |
| 13. #14582905 | C4 | semidirect |
| 165. #1812 | D43 | semidirect |
| 191. C43 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144243 | 2 |
| #19136266 | 2 |
| #19136244 | 2 |
| #19134395 | 2 |
| C43×#1812 | 2 |
| #13231 | 43 |