Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
268 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 268 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 |
|---|---|---|
| 4. #11716897 | C2 | semidirect |
| 5. #11716895 | C2 | semidirect |
| 6. C4⋊#6034 | C2 | semidirect |
| 7. C4×#6034 | C2 | semidirect |
| 104. C52 | #433 | semidirect |
| 160. C5 | #65697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717197 | 2 |
| C22⋊#6034 | 2 |
| #11716897 | 2 |
| #11716895 | 2 |
| C4⋊#6034 | 2 |
| C4×#6034 | 2 |
| #65697 | 5 |