Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
542 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19144690 | C2 | semidirect |
| 3. #19135392 | C2 | semidirect |
| 4. #19133210 | C2 | semidirect |
| 5. #19133206 | C2 | semidirect |
| 6. #19132465 | C2 | semidirect |
| 7. C43×#3246 | C2 | semidirect |
| 201. #3246 | D43 | semidirect |
| 239. C43 | #10027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144690 | 2 |
| #19144682 | 2 |
| #19135392 | 2 |
| #19133210 | 2 |
| #19133206 | 2 |
| #19132465 | 2 |
| C43×#3246 | 2 |
| #10027 | 43 |