Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
392 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 71 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. C22×#6033 | C2 | semidirect |
| 4. #11716779 | C2 | semidirect |
| 96. C52 | #408 | semidirect |
| 149. C5 | #65775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87880 | 2 |
| C2×#87867 | 2 |
| C22×#6033 | 2 |
| #11716779 | 2 |
| #65775 | 5 |