Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
632 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19137318 | C2 | semidirect |
| 3. #19135428 | C2 | semidirect |
| 4. #19133262 | C2 | semidirect |
| 5. #19132453 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1517 | C2 | semidirect |
| 10. #14583275 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 51. C4×C43⋊C8 | C2×C4 | semidirect |
| 55. C4⋊Q8×C43 | C2×C4 | semidirect |
| 56. #127×C43 | C2×C4 | semidirect |
| 119. C4×Dic43 | D8 | semidirect |
| 209. #1517 | D43 | semidirect |
| 238. C43 | #9299 | semidirect |
| 246. C4⋊Q8 | C4×D43 | semidirect |
| 251. #127 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145510 | 2 |
| #19137318 | 2 |
| #19135428 | 2 |
| #19133262 | 2 |
| #19132453 | 2 |
| #19132423 | 2 |
| C43×#1517 | 2 |
| #9299 | 43 |