Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135579 | C2 | semidirect |
| 3. #19133127 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132447 | C2 | semidirect |
| 10. #14583210 | C4 | semidirect |
| 13. #14583037 | C4 | semidirect |
| 31. C22×Dic86 | C2×C4 | semidirect |
| 39. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 50. C22⋊(C43⋊C8) | C2×C4 | semidirect |
| 260. C43 | #9341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145401 | 2 |
| #19135579 | 2 |
| #19133127 | 2 |
| #19133111 | 2 |
| #19132501 | 2 |
| #19132447 | 2 |
| C43×#2377 | 2 |
| #9341 | 43 |