Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
368 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19133341 | C2 | semidirect |
| 4. #19132426 | C2 | semidirect |
| 5. C43×#1275 | C2 | semidirect |
| 143. #1275 | D43 | semidirect |
| 165. C43 | #8603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582961 | 2 |
| #19133341 | 2 |
| #19132907 | 2 |
| #19132426 | 2 |
| C43×#1275 | 2 |
| #8603 | 43 |