Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
934 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 167 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. #19148405 | C2 | semidirect |
| 4. #19133639 | C2 | semidirect |
| 6. #19133108 | C2 | semidirect |
| 7. C43×#1467 | C2 | semidirect |
| 184. #1467 | D43 | semidirect |
| 214. C43 | #18188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148405 | 2 |
| #19144695 | 2 |
| #19137878 | 2 |
| #19133639 | 2 |
| #19133537 | 2 |
| #19133108 | 2 |
| C43×#1467 | 2 |
| #18188 | 43 |