Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
190 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 97. C52 | #341 | semidirect |
| 150. C5 | #64778 | semidirect |
| 151. C5 | #64901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5⋊#168 | 2 |
| C5×D5⋊M16 | 2 |
| D5×#681 | 2 |
| #64901 | 5 |
| #64778 | 5 |