Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19136384 | C2 | semidirect |
| 5. #19135339 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#1386 | C2 | semidirect |
| 21. #14582708 | C4 | semidirect |
| 49. #13063265 | C2×C4 | semidirect |
| 70. #106×C43 | C2×C4 | semidirect |
| 113. Dic172 | C4⋊C4 | semidirect |
| 115. D344 | C4⋊C4 | semidirect |
| 181. #1386 | D43 | semidirect |
| 209. C43 | #12943 | semidirect |
| 245. #106 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143395 | 2 |
| #19136384 | 2 |
| C2×#14582708 | 2 |
| #19136308 | 2 |
| #19135339 | 2 |
| #19132678 | 2 |
| C43×#1386 | 2 |
| #12943 | 43 |