Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
123 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 123 conjugacy classes of subgroups — too many to draw. Only its 43 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. C4⋊#6016 | C2 | semidirect |
| 3. C4×#6016 | C2 | semidirect |
| 14. D4×C25 | C8 | semidirect |
| 62. C25 | D4⋊C8 | semidirect |
| 86. D4 | #6016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic25 | 2 |
| C4⋊#6016 | 2 |
| C4×#6016 | 2 |
| D4⋊#170 | 5 |