Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
235 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 235 conjugacy classes of subgroups — too many to draw. Only its 81 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. #11716847 | C2 | semidirect |
| 4. #11716845 | C2 | semidirect |
| 95. C52 | #432 | semidirect |
| 151. C5 | #65215 | semidirect |
| 152. C5 | #65684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C42×C5×D5 | 2 |
| #11716847 | 2 |
| #11716846 | 2 |
| #11716845 | 2 |
| #65684 | 5 |
| #65215 | 5 |