Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
270 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 4. #11716612 | C2 | semidirect |
| 5. #11716595 | C2 | semidirect |
| 109. C52 | #432 | semidirect |
| 170. C5 | #65008 | semidirect |
| 171. C5 | #65215 | 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⋊#6029 | 2 |
| C5×C22⋊#168 | 2 |
| #11716612 | 2 |
| #11716595 | 2 |
| #65215 | 5 |
| #65008 | 5 |