Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
196 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 33 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. #11716989 | C2 | semidirect |
| 3. #11716897 | C2 | semidirect |
| 4. #11716801 | C2 | semidirect |
| 5. #11716800 | C2 | semidirect |
| 97. C52 | #478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6037 | 2 |
| #11716989 | 2 |
| #11716897 | 2 |
| #11716801 | 2 |
| #11716800 | 2 |
| #11716797 | 2 |
| #478 | 25 |