Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
284 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 2. #19136913 | C2 | semidirect |
| 3. #19132781 | C2 | semidirect |
| 4. #19132735 | C2 | semidirect |
| 5. C43×#2219 | C2 | semidirect |
| 13. #14582733 | C22 | semidirect |
| 14. C2×Q32×C43 | C22 | semidirect |
| 17. C43×#367 | C22 | semidirect |
| 106. #2219 | D43 | semidirect |
| 118. C2×Q32 | C2×D43 | semidirect |
| 124. #367 | C2×D43 | semidirect |
| 126. C43 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| #19136913 | 2 |
| #19132781 | 2 |
| #19132735 | 2 |
| C43×#2219 | 2 |
| #13668 | 43 |