Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
428 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19133189 | C2 | semidirect |
| 4. #19133049 | C2 | semidirect |
| 6. #19132431 | C2 | semidirect |
| 7. C43×#1299 | C2 | semidirect |
| 192. #1299 | D43 | semidirect |
| 222. C43 | #9214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144667 | 2 |
| #19143240 | 2 |
| #19133189 | 2 |
| #19133049 | 2 |
| #19133032 | 2 |
| #19132431 | 2 |
| C43×#1299 | 2 |
| #9214 | 43 |