Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
470 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19135584 | C2 | semidirect |
| 4. #19133354 | C2 | semidirect |
| 5. #19133279 | C2 | semidirect |
| 7. C43×#1451 | C2 | semidirect |
| 146. #1451 | D43 | semidirect |
| 168. C43 | #9812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583246 | 2 |
| #19135584 | 2 |
| #19135435 | 2 |
| #19133354 | 2 |
| #19133279 | 2 |
| #19133262 | 2 |
| C43×#1451 | 2 |
| #9812 | 43 |