Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19135580 | C2 | semidirect |
| 4. #19133129 | C2 | semidirect |
| 5. #19132500 | C2 | semidirect |
| 6. #19132448 | C2 | semidirect |
| 10. #14583210 | C4 | semidirect |
| 13. #14583037 | C4 | semidirect |
| 31. C22×Dic86 | C2×C4 | semidirect |
| 41. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 55. 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 |
| #19137752 | 2 |
| #19135580 | 2 |
| #19133129 | 2 |
| #19132500 | 2 |
| #19132448 | 2 |
| C43×#1507 | 2 |
| #9341 | 43 |