Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19135540 | C2 | semidirect |
| 4. C4×#13063258 | C2 | semidirect |
| 6. #19132885 | C2 | semidirect |
| 7. C43×#1503 | C2 | semidirect |
| 9. #14583295 | C4 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583249 | C4 | semidirect |
| 12. #14583247 | C4 | semidirect |
| 163. C43⋊C8 | #104 | semidirect |
| 189. #1503 | D43 | semidirect |
| 221. C43 | #9722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145155 | 2 |
| #19135540 | 2 |
| #19135513 | 2 |
| C4×#13063258 | 2 |
| #19133091 | 2 |
| #19132885 | 2 |
| C43×#1503 | 2 |
| #9722 | 43 |