Finite Group DatabasebetaFinite Group DatabasebetaOrder 21376.
402 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 402 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. #24923346 | C2 | semidirect |
| 3. #24923342 | C2 | semidirect |
| 4. #24923334 | C2 | semidirect |
| 5. #24923322 | C2 | semidirect |
| 6. #24923234 | C2 | semidirect |
| 7. #432×C167 | C2 | semidirect |
| 92. C167 | #2981 | semidirect |
| 98. #432 | D167 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24923819 | 2 |
| #24923346 | 2 |
| #24923342 | 2 |
| #24923334 | 2 |
| #24923322 | 2 |
| #24923234 | 2 |
| #432×C167 | 2 |
| #2981 | 167 |