Finite Group DatabasebetaFinite Group DatabasebetaOrder 21376.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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. #24923091 | C2 | semidirect |
| 3. #24923085 | C2 | semidirect |
| 51. C167 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24923318 | 2 |
| #24923091 | 2 |
| #24923085 | 2 |
| #24923051 | 2 |
| #470×C167 | 2 |
| #2239 | 167 |