Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
309 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 309 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11716506 | C2 | semidirect |
| 5. #11716451 | C2 | semidirect |
| 6. #11716451 | C2 | semidirect |
| 7. #11716450 | C2 | semidirect |
| 40. C2×Dic25 | Q8 | semidirect |
| 118. C25 | #544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C25×C22⋊Q8 | 2 |
| #11716506 | 2 |
| #11716486 | 2 |
| C2×#87718 | 2 |
| #11716451 | 2 |
| #11716450 | 2 |
| #11716440 | 2 |
| #11716439 | 2 |
| #65957 | 5 |