Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
770 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 770 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. #19143040 | C2 | semidirect |
| 3. #19133123 | C2 | semidirect |
| 4. #19132447 | C2 | semidirect |
| 5. C43×#1782 | C2 | semidirect |
| 7. C2×#13063321 | C4 | semidirect |
| 8. C2×#13063314 | C4 | semidirect |
| 15. #14582806 | C4 | semidirect |
| 16. #14582802 | C4 | semidirect |
| 49. C22⋊(C43⋊C8) | D4 | semidirect |
| 240. #1782 | D43 | semidirect |
| 271. C43 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143040 | 2 |
| #19138210 | 2 |
| #19133123 | 2 |
| #19132447 | 2 |
| C43×#1782 | 2 |
| #9445 | 43 |