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. #19133108 | C2 | semidirect |
| 5. #19133106 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 10. #14583259 | C4 | semidirect |
| 11. #14583259 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 35. #13063325 | C2×C4 | semidirect |
| 72. #97×C43 | C2×C4 | semidirect |
| 204. #1300 | D43 | semidirect |
| 234. C43 | #9439 | semidirect |
| 271. #97 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144982 | 2 |
| #19137705 | 2 |
| #19133218 | 2 |
| #19133108 | 2 |
| #19133106 | 2 |
| #19132489 | 2 |
| C43×#1300 | 2 |
| #9439 | 43 |