Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
344 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 62 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. #11717037 | C2 | semidirect |
| 3. C5×#3964 | C2 | semidirect |
| 4. #11716605 | C2 | semidirect |
| 5. #11716594 | C2 | semidirect |
| 32. #3964 | D5 | semidirect |
| 99. C52 | #486 | semidirect |
| 155. C5 | #65049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717260 | 2 |
| #11717037 | 2 |
| C5×#3964 | 2 |
| #11716605 | 2 |
| #11716594 | 2 |
| #65049 | 5 |