Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
912 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143621 | C2 | semidirect |
| 3. #19134580 | C2 | semidirect |
| 4. #19134527 | C2 | semidirect |
| 5. #19134525 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1289 | C2 | semidirect |
| 20. #14582817 | C4 | semidirect |
| 21. #14582809 | C4 | semidirect |
| 41. C22×C43⋊C8 | D4 | semidirect |
| 68. C22×C8×C43 | D4 | semidirect |
| 275. #1289 | D43 | semidirect |
| 308. C43 | #9472 | semidirect |
| 323. C22×C8 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143621 | 2 |
| #19137952 | 2 |
| #19134580 | 2 |
| #19134527 | 2 |
| #19134525 | 2 |
| #19132462 | 2 |
| C43×#1289 | 2 |
| #9472 | 43 |