Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
156 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11716464 | C2 | semidirect |
| 3. C25×#97 | C2 | semidirect |
| 4. #11716361 | C2 | semidirect |
| 5. #11716353 | C2 | semidirect |
| 11. D200 | C4 | semidirect |
| 12. #87713 | C4 | semidirect |
| 15. Dic100 | C4 | semidirect |
| 66. #97 | D25 | semidirect |
| 67. C25 | #444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11716467 | 2 |
| #11716464 | 2 |
| C25×#97 | 2 |
| #11716361 | 2 |
| #11716353 | 2 |
| #65006 | 5 |