Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 574 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. #19135432 | C2 | semidirect |
| 3. #19135430 | C2 | semidirect |
| 4. #19135023 | C2 | semidirect |
| 5. #19134773 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1893 | C2 | semidirect |
| 138. C22⋊Dic43 | D8 | semidirect |
| 263. #1893 | D43 | semidirect |
| 300. C43 | #10564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145343 | 2 |
| #19135432 | 2 |
| #19135430 | 2 |
| #19135023 | 2 |
| #19134773 | 2 |
| #19132462 | 2 |
| C43×#1893 | 2 |
| #10564 | 43 |