Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
678 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #19145723 | C2 | semidirect |
| 3. #19142953 | C2 | semidirect |
| 4. #19135422 | C2 | semidirect |
| 5. #19133264 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1549 | C2 | semidirect |
| 187. #1549 | D43 | semidirect |
| 217. C43 | #10282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145723 | 2 |
| #19145515 | 2 |
| #19142953 | 2 |
| #19135422 | 2 |
| #19133264 | 2 |
| #19132427 | 2 |
| C43×#1549 | 2 |
| #10282 | 43 |