Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
646 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 646 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19143057 | C2 | semidirect |
| 3. #19136266 | C2 | semidirect |
| 4. #19136244 | C2 | semidirect |
| 5. #19134568 | C2 | semidirect |
| 6. #19132724 | C2 | semidirect |
| 7. C43×#1391 | C2 | semidirect |
| 9. C2×#13063353 | C4 | semidirect |
| 10. C22×#10621873 | C4 | semidirect |
| 18. #14582909 | C4 | semidirect |
| 20. #14582896 | C4 | semidirect |
| 247. #1391 | D43 | semidirect |
| 278. C43 | #13103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143883 | 2 |
| #19143057 | 2 |
| #19136266 | 2 |
| #19136244 | 2 |
| #19134568 | 2 |
| #19132724 | 2 |
| C43×#1391 | 2 |
| #13103 | 43 |