Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
209 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 209 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. C4⋊#6032 | C2 | semidirect |
| 3. C5×#4004 | C2 | semidirect |
| 6. #11716752 | C2 | semidirect |
| 7. Dic5×#170 | C2 | semidirect |
| 36. #4004 | D5 | semidirect |
| 123. C52 | #433 | semidirect |
| 189. C5 | #65129 | semidirect |
| 190. C5 | #65706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11716954 | 2 |
| C4⋊#6032 | 2 |
| C5×#4004 | 2 |
| #11716754 | 2 |
| #11716752 | 2 |
| Dic5×#170 | 2 |
| #65706 | 5 |
| #65129 | 5 |