Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
183 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 183 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 3. #11716449 | C2 | semidirect |
| 5. #11716365 | C2 | semidirect |
| 6. C8×Dic25 | C2 | semidirect |
| 7. #11716356 | C2 | semidirect |
| 14. #87721 | C4 | semidirect |
| 32. Dic50 | C2×C4 | semidirect |
| 34. #6014 | C2×C4 | semidirect |
| 52. Dic25 | SD16 | semidirect |
| 91. C25 | C4×SD16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic25 | 2 |
| C2×#87721 | 2 |
| #11716449 | 2 |
| C25×#102 | 2 |
| #11716365 | 2 |
| C8×Dic25 | 2 |
| #11716356 | 2 |
| #65047 | 5 |