Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#14582635 | C2 | semidirect |
| 4. #19132960 | C2 | semidirect |
| 5. #19132482 | C2 | semidirect |
| 6. #19132438 | C2 | semidirect |
| 10. #14583227 | C4 | semidirect |
| 11. #14583210 | C4 | semidirect |
| 15. #14583054 | C4 | semidirect |
| 16. #14583037 | C4 | semidirect |
| 268. C43 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145372 | 2 |
| #19143651 | 2 |
| C2×#14582635 | 2 |
| #19132960 | 2 |
| #19132482 | 2 |
| #19132438 | 2 |
| C43×#1504 | 2 |
| #9263 | 43 |