Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 119 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. C2×#14582652 | C2 | semidirect |
| 4. #19132469 | C2 | semidirect |
| 5. C43×#1837 | C2 | semidirect |
| 133. #1837 | D43 | semidirect |
| 159. C43 | #8688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143308 | 2 |
| C2×#14582652 | 2 |
| #19133273 | 2 |
| #19132469 | 2 |
| C43×#1837 | 2 |
| #8688 | 43 |