Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
159 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 159 conjugacy classes of subgroups — too many to draw. Only its 41 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. #11716845 | C2 | semidirect |
| 61. C52 | #329 | semidirect |
| 98. C5 | #64760 | semidirect |
| 99. C5 | #64927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4093 | 2 |
| #11716845 | 2 |
| #64927 | 5 |
| #64760 | 5 |