Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
626 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 201 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. #19135310 | C2 | semidirect |
| 4. #19135149 | C2 | semidirect |
| 6. #19134740 | C2 | semidirect |
| 7. C43×#1843 | C2 | semidirect |
| 117. #1843 | D43 | semidirect |
| 140. C43 | #23381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137893 | 2 |
| #19135310 | 2 |
| #19135200 | 2 |
| #19135149 | 2 |
| #19134776 | 2 |
| #19134740 | 2 |
| C43×#1843 | 2 |
| #23381 | 43 |