Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
277 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 277 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 4. #11716752 | C2 | semidirect |
| 5. Dic5×#170 | C2 | semidirect |
| 7. C2×#6032 | C4 | semidirect |
| 10. C5×#704 | C4 | semidirect |
| 48. #704 | Dic5 | semidirect |
| 98. C52 | #405 | semidirect |
| 149. C5 | #65411 | semidirect |
| 150. C5 | #65691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6032 | 2 |
| C2×C5×#704 | 2 |
| #11717073 | 2 |
| #11716752 | 2 |
| Dic5×#170 | 2 |
| #65691 | 5 |
| #65411 | 5 |