Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 391 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. #19136889 | C2 | semidirect |
| 2. C2×#14582733 | C2 | semidirect |
| 5. #14582733 | C22 | semidirect |
| 6. C2×C43⋊C32 | C22 | semidirect |
| 67. C43 | #33974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136889 | 2 |
| C2×#14582733 | 2 |
| C2×C43×#504 | 2 |
| #33974 | 43 |