Finite Group DatabasebetaFinite Group DatabasebetaOrder 640.
250 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 55 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. C5×#486 | C2 | semidirect |
| 3. #65383 | C2 | semidirect |
| 4. #65372 | C2 | semidirect |
| 5. #64764 | C2 | semidirect |
| 6. #64679 | C2 | semidirect |
| 7. #64676 | C2 | semidirect |
| 52. #486 | D5 | semidirect |
| 82. Dic10 | SD16 | semidirect |
| 177. C5 | #1642 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #66052 | 2 |
| C5×#486 | 2 |
| #65383 | 2 |
| #65372 | 2 |
| #64764 | 2 |
| #64679 | 2 |
| #64676 | 2 |
| #1642 | 5 |