Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1006 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 255 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. C2×#14583020 | C2 | semidirect |
| 3. #19143306 | C2 | semidirect |
| 4. #19135481 | C2 | semidirect |
| 5. #19135426 | C2 | semidirect |
| 6. #19134283 | C2 | semidirect |
| 7. C43×#1849 | C2 | semidirect |
| 11. #14583293 | C4 | semidirect |
| 12. #14583288 | C4 | semidirect |
| 44. #13063235 | D4 | semidirect |
| 122. #1849 | D43 | semidirect |
| 145. C43 | #21709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145041 | 2 |
| C2×#14583020 | 2 |
| #19143306 | 2 |
| #19135481 | 2 |
| #19135426 | 2 |
| #19134283 | 2 |
| C43×#1849 | 2 |
| #21709 | 43 |