Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
260 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 58 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. #11716991 | C2 | semidirect |
| 3. #11716682 | C2 | semidirect |
| 4. C5×#3953 | C2 | semidirect |
| 5. #11716603 | C2 | semidirect |
| 27. #3953 | D5 | semidirect |
| 81. C52 | #490 | semidirect |
| 123. C5 | #65053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717032 | 2 |
| #11716991 | 2 |
| #11716682 | 2 |
| C5×#3953 | 2 |
| #11716603 | 2 |
| #65053 | 5 |