Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#14582724 | C2 | semidirect |
| 5. #19135381 | C2 | semidirect |
| 6. #19132685 | C2 | semidirect |
| 7. C43×#1387 | C2 | semidirect |
| 19. #14582705 | C4 | semidirect |
| 44. C2×C43⋊C16 | C2×C4 | semidirect |
| 60. #108×C43 | C2×C4 | semidirect |
| 159. #1387 | D43 | semidirect |
| 185. C43 | #12945 | semidirect |
| 212. #108 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143469 | 2 |
| C2×#14582724 | 2 |
| C2×#14582705 | 2 |
| #19136308 | 2 |
| #19135381 | 2 |
| #19132685 | 2 |
| C43×#1387 | 2 |
| #12945 | 43 |