Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
464 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 66 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. C2×#87867 | C2 | semidirect |
| 3. #11716906 | C2 | semidirect |
| 4. #11716898 | C2 | semidirect |
| 119. C52 | #413 | semidirect |
| 185. C5 | #65777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87902 | 2 |
| C2×#87867 | 2 |
| #11716906 | 2 |
| #11716898 | 2 |
| #65777 | 5 |