Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 127 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. #19145238 | C2 | semidirect |
| 2. #19136755 | C2 | semidirect |
| 3. #19136750 | C2 | semidirect |
| 4. #19136696 | C2 | semidirect |
| 5. #19136681 | C2 | semidirect |
| 6. #19136629 | C2 | semidirect |
| 7. #19136628 | C2 | semidirect |
| 8. #19136353 | C2 | semidirect |
| 9. C43×#2215 | C2 | semidirect |
| 151. #2215 | D43 | semidirect |
| 186. C43 | #33825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145238 | 2 |
| #19136755 | 2 |
| #19136750 | 2 |
| #19136696 | 2 |
| #19136681 | 2 |
| #19136629 | 2 |
| #19136628 | 2 |
| #19136353 | 2 |
| C43×#2215 | 2 |
| #33825 | 43 |