Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
162 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 52. Dic25 | Q16 | semidirect |
| 92. C25 | #462 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×C25 | 2 |
| Q8×Dic25 | 2 |
| #11716506 | 2 |
| C2×#87723 | 2 |
| #11716384 | 2 |
| #11716365 | 2 |
| #11716363 | 2 |
| #65471 | 5 |