Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
247 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 247 conjugacy classes of subgroups — too many to draw. Only its 89 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. #11716845 | C2 | semidirect |
| 4. C4⋊#6032 | C2 | semidirect |
| 96. C52 | #432 | semidirect |
| 155. C5 | #65215 | semidirect |
| 156. C5 | #65759 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C5×Dic5 | 2 |
| C22⋊#6032 | 2 |
| #11716845 | 2 |
| C4⋊#6032 | 2 |
| #65759 | 5 |
| #65215 | 5 |