Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
344 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136824 | C2 | semidirect |
| 4. #19132645 | C2 | semidirect |
| 5. #19132559 | C2 | semidirect |
| 7. C43×#2227 | C2 | semidirect |
| 131. #2227 | D43 | semidirect |
| 157. C43 | #12374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×D172 | 2 |
| #19136824 | 2 |
| #19133991 | 2 |
| #19132645 | 2 |
| #19132559 | 2 |
| #19132549 | 2 |
| C43×#2227 | 2 |
| #12374 | 43 |