Finite Group DatabasebetaFinite Group DatabasebetaOrder 21376.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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. #24923397 | C2 | semidirect |
| 5. #24923396 | C2 | semidirect |
| 91. C167 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24923822 | 2 |
| #24923399 | 2 |
| #24923398 | 2 |
| #24923397 | 2 |
| #24923396 | 2 |
| #24923330 | 2 |
| #24923327 | 2 |
| #24923323 | 2 |
| #433×C167 | 2 |
| #2987 | 167 |