Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
322 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19136815 | C2 | semidirect |
| 3. #19136807 | C2 | semidirect |
| 4. #19136149 | C2 | semidirect |
| 5. #19132582 | C2 | semidirect |
| 6. #19132532 | C2 | semidirect |
| 7. C43×#1339 | C2 | semidirect |
| 154. #1339 | D43 | semidirect |
| 180. C43 | #12303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145506 | 2 |
| #19136815 | 2 |
| #19136807 | 2 |
| #19136149 | 2 |
| #19132582 | 2 |
| #19132532 | 2 |
| C43×#1339 | 2 |
| #12303 | 43 |