Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
180 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 180 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 |
|---|---|---|
| 2. #11716506 | C2 | semidirect |
| 5. #11716384 | C2 | semidirect |
| 6. #11716365 | C2 | semidirect |
| 7. #11716363 | C2 | semidirect |
| 55. Dic25 | SD16 | semidirect |
| 97. C25 | #461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C25 | 2 |
| #11716506 | 2 |
| D4×Dic25 | 2 |
| C2×#87721 | 2 |
| #11716384 | 2 |
| #11716365 | 2 |
| #11716363 | 2 |
| #65451 | 5 |