Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 510 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. #19145608 | C2 | semidirect |
| 3. #19144604 | C2 | semidirect |
| 4. #19133232 | C2 | semidirect |
| 5. #19133065 | C2 | semidirect |
| 6. #19132935 | C2 | semidirect |
| 7. C43×#1287 | C2 | semidirect |
| 199. #1287 | D43 | semidirect |
| 231. C43 | #10039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145608 | 2 |
| #19144687 | 2 |
| #19144604 | 2 |
| #19133232 | 2 |
| #19133065 | 2 |
| #19132935 | 2 |
| C43×#1287 | 2 |
| #10039 | 43 |