Finite Group DatabasebetaFinite Group DatabasebetaOrder 25664.
132 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 49 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. D4×Dic401 | C2 | semidirect |
| 3. #27165699 | C2 | semidirect |
| 4. #27165668 | C2 | semidirect |
| 5. #27165659 | C2 | semidirect |
| 6. #27165647 | C2 | semidirect |
| 7. #102×C401 | C2 | semidirect |
| 11. #20264351 | C4 | semidirect |
| 22. D1604 | C2×C4 | semidirect |
| 28. #15691999 | C2×C4 | semidirect |
| 31. D4×C401 | C2×C4 | semidirect |
| 53. C401 | #442 | semidirect |
| 60. #102 | D401 | semidirect |
| 79. D4 | C4×D401 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20264351 | 2 |
| D4×Dic401 | 2 |
| #27165699 | 2 |
| #27165668 | 2 |
| #27165659 | 2 |
| #27165647 | 2 |
| #102×C401 | 2 |
| #442 | 401 |