Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
276 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 19. #367×C83 | C4 | semidirect |
| 20. #366×C83 | C4 | semidirect |
| 128. C83 | #13119 | semidirect |
| 138. #367 | Dic83 | semidirect |
| 139. #366 | Dic83 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24908217 | 2 |
| #24907362 | 2 |
| #24905571 | 2 |
| #24905568 | 2 |
| #24905562 | 2 |
| #24905542 | 2 |
| C83×#2159 | 2 |
| #13119 | 83 |