Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
201 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 201 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 32. C5×#170 | Q8 | semidirect |
| 105. #170 | Dic10 | semidirect |
| 117. C52 | #446 | semidirect |
| 173. C5 | #64990 | semidirect |
| 174. C5 | #65788 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic5×Dic10 | 2 |
| #11716847 | 2 |
| C5×#4002 | 2 |
| #11716760 | 2 |
| #11716759 | 2 |
| #11716752 | 2 |
| Dic5×#170 | 2 |
| #65788 | 5 |
| #64990 | 5 |