Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
303 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 303 conjugacy classes of subgroups — too many to draw. Only its 87 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. C22×Dic50 | C2 | semidirect |
| 4. #11716379 | C2 | semidirect |
| 5. #11716379 | C2 | semidirect |
| 20. C23×C25 | Q8 | semidirect |
| 90. C25 | #393 | semidirect |
| 124. C23 | Dic50 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic50 | 2 |
| C2×C22⋊C4×C25 | 2 |
| C2×C22⋊Dic25 | 2 |
| #11716379 | 2 |
| #65236 | 5 |