Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #19133190 | C2 | semidirect |
| 5. #19133016 | C2 | semidirect |
| 6. #19132484 | C2 | semidirect |
| 7. C43×#3255 | C2 | semidirect |
| 180. #3255 | D43 | semidirect |
| 215. C43 | #10113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145533 | 2 |
| #19144971 | 2 |
| #19135434 | 2 |
| #19133190 | 2 |
| #19133016 | 2 |
| #19132484 | 2 |
| C43×#3255 | 2 |
| #10113 | 43 |