Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
628 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 211 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. C5×#1832 | C2 | semidirect |
| 4. #10601234 | C2 | semidirect |
| 5. #10600232 | C2 | semidirect |
| 7. #10599407 | C2 | semidirect |
| 50. #1832 | D5 | semidirect |
| 218. C5 | #21927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10605116 | 2 |
| C5×#1832 | 2 |
| #10601269 | 2 |
| #10601234 | 2 |
| #10600232 | 2 |
| #10599409 | 2 |
| #10599407 | 2 |
| #21927 | 5 |