Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
285 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 285 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×#87739 | C2 | semidirect |
| 3. C22⋊#6016 | C2 | semidirect |
| 11. C2×#6016 | C22 | semidirect |
| 33. C22×C25 | M16 | semidirect |
| 66. C25 | #407 | semidirect |
| 106. C22 | #87739 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic25 | 2 |
| C2×#87739 | 2 |
| C22⋊#6016 | 2 |
| #65798 | 5 |