Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 126 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 |
|---|---|---|
| 3. #10604738 | C2 | semidirect |
| 5. #10598787 | C2 | semidirect |
| 42. C5×#100 | C8 | semidirect |
| 74. C5×M16 | C2×C8 | semidirect |
| 143. #100 | #170 | semidirect |
| 184. M16 | C2×#170 | semidirect |
| 235. C5 | #8835 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617497 | 2 |
| #10604948 | 2 |
| #10604738 | 2 |
| Dic5×#100 | 2 |
| #10598787 | 2 |
| #8835 | 5 |