Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
294 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 1. #19147731 | C2 | semidirect |
| 2. #19136908 | C2 | semidirect |
| 3. #19132781 | C2 | semidirect |
| 4. #19132735 | C2 | semidirect |
| 5. C43×#2218 | C2 | semidirect |
| 13. #14582733 | C22 | semidirect |
| 14. C2×D16×C43 | C22 | semidirect |
| 17. C43×#367 | C22 | semidirect |
| 28. Dic344 | D4 | semidirect |
| 32. D688 | D4 | semidirect |
| 109. #2218 | D43 | semidirect |
| 122. C2×D16 | C2×D43 | semidirect |
| 128. #367 | C2×D43 | semidirect |
| 130. C43 | #13667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| #19136908 | 2 |
| #19132781 | 2 |
| #19132735 | 2 |
| C43×#2218 | 2 |
| #13667 | 43 |