Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
532 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 532 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. #19135581 | C2 | semidirect |
| 5. #19134773 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1892 | C2 | semidirect |
| 132. C22⋊Dic43 | SD16 | semidirect |
| 245. #1892 | D43 | semidirect |
| 281. C43 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145348 | 2 |
| #19135581 | 2 |
| #19135430 | 2 |
| #19135023 | 2 |
| #19134773 | 2 |
| #19132462 | 2 |
| C43×#1892 | 2 |
| #10565 | 43 |