Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 2. #364×D43 | C2 | semidirect |
| 3. #19132877 | C2 | semidirect |
| 4. #19132569 | C2 | semidirect |
| 5. #19132568 | C2 | semidirect |
| 6. #19132567 | C2 | semidirect |
| 7. C43×#1335 | C2 | semidirect |
| 20. #14582720 | C22 | semidirect |
| 23. C8×C43⋊C8 | C22 | semidirect |
| 25. C43×#364 | C22 | semidirect |
| 26. C82×C43 | C22 | semidirect |
| 28. #13063348 | C8 | semidirect |
| 32. #13063344 | C8 | semidirect |
| 33. Q16×D43 | C8 | semidirect |
| 35. D8×D43 | C8 | semidirect |
| 181. #1335 | D43 | semidirect |
| 203. #364 | C2×D43 | semidirect |
| 206. C82 | C2×D43 | semidirect |
| 207. C43 | #11602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #443×D43 | 2 |
| #364×D43 | 2 |
| #19132877 | 2 |
| #19132569 | 2 |
| #19132568 | 2 |
| #19132567 | 2 |
| C43×#1335 | 2 |
| #11602 | 43 |