Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19143511 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. #19135494 | C2 | semidirect |
| 5. #19132692 | C2 | semidirect |
| 6. #19132685 | C2 | semidirect |
| 7. C43×#2143 | C2 | semidirect |
| 12. C2×#13063271 | C4 | semidirect |
| 13. C2×#13063269 | C4 | semidirect |
| 14. C2×#13063268 | C4 | semidirect |
| 15. C2×#13063266 | C4 | semidirect |
| 180. #2143 | D43 | semidirect |
| 211. C43 | #13016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583329 | 2 |
| #19143511 | 2 |
| #19136332 | 2 |
| #19135494 | 2 |
| #19132692 | 2 |
| #19132685 | 2 |
| C43×#2143 | 2 |
| #13016 | 43 |