Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19135424 | C2 | semidirect |
| 3. #19135422 | C2 | semidirect |
| 4. #19134746 | C2 | semidirect |
| 5. #19133270 | C2 | semidirect |
| 6. #19132469 | C2 | semidirect |
| 7. C43×#1547 | C2 | semidirect |
| 120. C4×Dic43 | D8 | semidirect |
| 206. #1547 | D43 | semidirect |
| 236. C43 | #10518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145902 | 2 |
| #19135424 | 2 |
| #19135422 | 2 |
| #19134746 | 2 |
| #19133270 | 2 |
| #19132469 | 2 |
| C43×#1547 | 2 |
| #10518 | 43 |