Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
250 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 60 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. #11717036 | C2 | semidirect |
| 5. #11716607 | C2 | semidirect |
| 6. #11716606 | C2 | semidirect |
| 7. #11716595 | C2 | semidirect |
| 132. C52 | #489 | semidirect |
| 200. C5 | #65054 | semidirect |
| 201. C5 | #65344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4082 | 2 |
| #11717036 | 2 |
| #11716699 | 2 |
| C5×#3964 | 2 |
| #11716607 | 2 |
| #11716606 | 2 |
| #11716595 | 2 |
| #65344 | 5 |
| #65054 | 5 |