Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
470 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #19133353 | C2 | semidirect |
| 4. #19133280 | C2 | semidirect |
| 6. #19132882 | C2 | semidirect |
| 7. C43×#1997 | C2 | semidirect |
| 141. #1997 | 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×#14583247 | 2 |
| #19135435 | 2 |
| #19133353 | 2 |
| #19133280 | 2 |
| #19133264 | 2 |
| #19132882 | 2 |
| C43×#1997 | 2 |
| #9812 | 43 |