Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
195 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 195 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 |
|---|---|---|
| 2. C2×#87713 | C2 | semidirect |
| 3. C2×Dic100 | C2 | semidirect |
| 4. #11716437 | C2 | semidirect |
| 5. C4×C8×C25 | C2 | semidirect |
| 65. C4×C8 | D25 | semidirect |
| 66. C25 | #495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D200 | 2 |
| C2×#87713 | 2 |
| C2×Dic100 | 2 |
| #11716437 | 2 |
| C4×C8×C25 | 2 |
| #64985 | 5 |