Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
566 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19143676 | C2 | semidirect |
| 4. #19132427 | C2 | semidirect |
| 5. C43×#1461 | C2 | semidirect |
| 24. #13063314 | C8 | semidirect |
| 149. #1461 | D43 | semidirect |
| 172. C43 | #8960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143676 | 2 |
| C4×#13063314 | 2 |
| #19132987 | 2 |
| #19132427 | 2 |
| C43×#1461 | 2 |
| #8960 | 43 |