Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19135553 | C2 | semidirect |
| 2. #19133381 | C2 | semidirect |
| 5. #19132951 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 198. C43 | #10509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135553 | 2 |
| #19133381 | 2 |
| #19133290 | 2 |
| #19133090 | 2 |
| #19132951 | 2 |
| #19132452 | 2 |
| C43×#3234 | 2 |
| #10509 | 43 |