Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1066 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1066 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19145600 | C2 | semidirect |
| 3. #19144981 | C2 | semidirect |
| 4. #19133903 | C2 | semidirect |
| 5. #19133194 | C2 | semidirect |
| 6. C43×#1533 | C2 | semidirect |
| 10. #14583456 | C22 | semidirect |
| 16. #14583293 | C22 | semidirect |
| 17. #14583259 | C22 | semidirect |
| 18. #14583258 | C22 | semidirect |
| 25. C4×#10621877 | C22 | semidirect |
| 26. #14582638 | C22 | semidirect |
| 28. C43×#432 | C22 | semidirect |
| 29. C43×#329 | C22 | semidirect |
| 38. #13063325 | C23 | semidirect |
| 64. #13063236 | C23 | semidirect |
| 75. #97×C43 | C23 | semidirect |
| 182. #1533 | D43 | semidirect |
| 206. #432 | C2×D43 | semidirect |
| 211. #329 | C2×D43 | semidirect |
| 212. C43 | #18997 | semidirect |
| 257. #97 | C22×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583641 | 2 |
| #19145600 | 2 |
| #19144981 | 2 |
| #19133903 | 2 |
| #19133194 | 2 |
| C43×#1533 | 2 |
| #18997 | 43 |