Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
189 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 189 conjugacy classes of subgroups — too many to draw. Only its 71 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. #11716419 | C2 | semidirect |
| 4. C4⋊#6016 | C2 | semidirect |
| 36. C4×C25 | M16 | semidirect |
| 39. Dic25 | M16 | semidirect |
| 72. C25 | #423 | semidirect |
| 120. C4 | #87739 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87739 | 2 |
| C2×C4×Dic25 | 2 |
| #11716419 | 2 |
| C4⋊#6016 | 2 |
| #65758 | 5 |