Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19139081 | C2 | semidirect |
| 4. #19134682 | C2 | semidirect |
| 5. #19133167 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 242. C43 | #9953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583210 | 2 |
| #19139081 | 2 |
| #19135432 | 2 |
| #19134682 | 2 |
| #19133167 | 2 |
| #19132442 | 2 |
| C43×#3187 | 2 |
| #9953 | 43 |