Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
632 conjugacy classes of subgroups; only the 195 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 195 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. C22×C52×C8 | C2 | semidirect |
| 3. #11717246 | C2 | semidirect |
| 4. #11716688 | C2 | semidirect |
| 5. #11716683 | C2 | semidirect |
| 9. #87900 | C4 | semidirect |
| 35. C22×C5×C8 | D5 | semidirect |
| 82. C22×C8 | C5⋊D5 | semidirect |
| 86. C52 | #416 | semidirect |
| 128. C5 | #65402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87900 | 2 |
| C22×C52×C8 | 2 |
| #11717246 | 2 |
| #11716688 | 2 |
| #11716683 | 2 |
| #65402 | 5 |