Finite Group DatabasebetaFinite Group DatabasebetaOrder 25664.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. C2×D3208 | C2 | semidirect |
| 2. C2×#20264351 | C2 | semidirect |
| 3. #27165733 | C2 | semidirect |
| 4. #27165699 | C2 | semidirect |
| 5. #27165666 | C2 | semidirect |
| 6. #27165657 | C2 | semidirect |
| 7. #102×C401 | C2 | semidirect |
| 26. D1604 | D4 | semidirect |
| 53. Dic401 | D8 | semidirect |
| 60. C401 | #459 | semidirect |
| 68. #102 | D401 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3208 | 2 |
| C2×#20264351 | 2 |
| #27165733 | 2 |
| #27165699 | 2 |
| #27165666 | 2 |
| #27165657 | 2 |
| #102×C401 | 2 |
| #459 | 401 |