Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
400 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 400 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. #19134390 | C2 | semidirect |
| 3. #19132917 | C2 | semidirect |
| 4. #19132626 | C2 | semidirect |
| 5. #19132624 | C2 | semidirect |
| 210. C43 | #11738 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140460 | 2 |
| #19134390 | 2 |
| #19132917 | 2 |
| #19132626 | 2 |
| #19132624 | 2 |
| #19132598 | 2 |
| C43×#1345 | 2 |
| #11738 | 43 |