Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #19135028 | C2 | semidirect |
| 5. #19132958 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#1855 | C2 | semidirect |
| 210. #1855 | D43 | semidirect |
| 243. C43 | #10562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145402 | 2 |
| #19135058 | 2 |
| #19135028 | 2 |
| #19133164 | 2 |
| #19132958 | 2 |
| #19132500 | 2 |
| C43×#1855 | 2 |
| #10562 | 43 |