Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
302 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. #19147171 | C2 | semidirect |
| 2. #19136836 | C2 | semidirect |
| 4. #19132646 | C2 | semidirect |
| 5. #19132565 | C2 | semidirect |
| 6. #19132552 | C2 | semidirect |
| 7. C43×#2207 | C2 | semidirect |
| 144. #2207 | D43 | semidirect |
| 173. C43 | #12349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147171 | 2 |
| #19136836 | 2 |
| #19134071 | 2 |
| #19132646 | 2 |
| #19132565 | 2 |
| #19132552 | 2 |
| C43×#2207 | 2 |
| #12349 | 43 |