Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #19133107 | C2 | semidirect |
| 5. #19132488 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 7. C43×#1506 | C2 | semidirect |
| 9. #14583261 | C4 | semidirect |
| 10. #14583261 | C4 | semidirect |
| 54. #13063236 | C2×C4 | semidirect |
| 61. C4⋊Q8×C43 | C2×C4 | semidirect |
| 62. C4⋊Q8×C43 | C2×C4 | semidirect |
| 202. #1506 | D43 | semidirect |
| 234. C43 | #9439 | semidirect |
| 239. C4⋊Q8 | C4×D43 | semidirect |
| 240. C4⋊Q8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144984 | 2 |
| #19137705 | 2 |
| #19133218 | 2 |
| #19133107 | 2 |
| #19132488 | 2 |
| #19132487 | 2 |
| C43×#1506 | 2 |
| #9439 | 43 |