Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1078 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1078 conjugacy classes of subgroups — too many to draw. Only its 219 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×#14583268 | C2 | semidirect |
| 4. #19135747 | C2 | semidirect |
| 5. #19135564 | C2 | semidirect |
| 129. C22×C43 | #491 | semidirect |
| 174. C43 | #25912 | semidirect |
| 276. C22 | #14583268 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063317 | 2 |
| C2×#14583268 | 2 |
| #19142947 | 2 |
| #19135747 | 2 |
| #19135564 | 2 |
| #19134900 | 2 |
| C43×#1749 | 2 |
| #25912 | 43 |