Finite Group DatabasebetaFinite Group DatabasebetaOrder 320.
118 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 118 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 |
|---|---|---|
| 2. #4034 | C2 | semidirect |
| 3. C5×#102 | C2 | semidirect |
| 4. #3964 | C2 | semidirect |
| 5. #3953 | C2 | semidirect |
| 6. C8×Dic5 | C2 | semidirect |
| 7. #3941 | C2 | semidirect |
| 41. #102 | D5 | semidirect |
| 88. C5 | #486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #4086 | 2 |
| #4034 | 2 |
| C5×#102 | 2 |
| #3964 | 2 |
| #3953 | 2 |
| C8×Dic5 | 2 |
| #3941 | 2 |
| #486 | 5 |