Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
522 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19132427 | C2 | semidirect |
| 4. #19132424 | C2 | semidirect |
| 5. C43×#1274 | C2 | semidirect |
| 37. C42×D43 | C8 | semidirect |
| 149. #1274 | D43 | semidirect |
| 168. C43 | #8730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136934 | 2 |
| #19132907 | 2 |
| #19132427 | 2 |
| #19132424 | 2 |
| C43×#1274 | 2 |
| #8730 | 43 |