Finite Group DatabasebetaFinite Group DatabasebetaOrder 21376.
322 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 161 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. #24923399 | C2 | semidirect |
| 3. #24923398 | C2 | semidirect |
| 4. C8×Dic334 | C2 | semidirect |
| 81. C167 | #2985 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24923826 | 2 |
| #24923399 | 2 |
| #24923398 | 2 |
| C8×Dic334 | 2 |
| #24923327 | 2 |
| #24923326 | 2 |
| #431×C167 | 2 |
| #2985 | 167 |