Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
180 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 67 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. C4×Dic50 | C2 | semidirect |
| 5. #11716357 | C2 | semidirect |
| 6. #11716355 | C2 | semidirect |
| 7. #11716351 | C2 | semidirect |
| 14. #87721 | C4 | semidirect |
| 32. Dic50 | C2×C4 | semidirect |
| 34. #6014 | C2×C4 | semidirect |
| 91. C25 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D4×C25 | 2 |
| C2×#87721 | 2 |
| C4×Dic50 | 2 |
| #11716381 | 2 |
| #11716357 | 2 |
| #11716355 | 2 |
| #11716351 | 2 |
| #65307 | 5 |