Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
924 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #19135579 | C2 | semidirect |
| 5. #19133166 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1289 | C2 | semidirect |
| 9. C22×#10621873 | C4 | semidirect |
| 16. C2×#13063247 | C4 | semidirect |
| 30. C22×Dic86 | C2×C4 | semidirect |
| 49. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 67. C22×C8×C43 | C2×C4 | semidirect |
| 134. C22⋊Dic43 | SD16 | semidirect |
| 264. #1289 | D43 | semidirect |
| 298. C43 | #9255 | semidirect |
| 315. C22×C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583052 | 2 |
| #19137415 | 2 |
| #19135579 | 2 |
| #19134525 | 2 |
| #19133166 | 2 |
| #19132442 | 2 |
| C43×#1289 | 2 |
| #9255 | 43 |