Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
500 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19136154 | C2 | semidirect |
| 3. #19136000 | C2 | semidirect |
| 4. #19135998 | C2 | semidirect |
| 5. #19132417 | C2 | semidirect |
| 6. #19132415 | C2 | semidirect |
| 7. C43×#1270 | C2 | semidirect |
| 212. #1270 | D43 | semidirect |
| 241. C43 | #7795 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140959 | 2 |
| #19136154 | 2 |
| #19136000 | 2 |
| #19135998 | 2 |
| #19132417 | 2 |
| #19132415 | 2 |
| C43×#1270 | 2 |
| #7795 | 43 |