Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
632 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 251 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. #11717246 | C2 | semidirect |
| 3. C22×#6029 | C2 | semidirect |
| 4. #11716702 | C2 | semidirect |
| 5. #11716699 | C2 | semidirect |
| 7. C52×#41 | C4 | semidirect |
| 50. C5×#41 | Dic5 | semidirect |
| 86. C52 | #416 | semidirect |
| 98. #41 | #1039 | semidirect |
| 128. C5 | #65522 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C52×#41 | 2 |
| #11717246 | 2 |
| C22×#6029 | 2 |
| #11716702 | 2 |
| #11716699 | 2 |
| #65522 | 5 |