Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. C2×C5×#510 | C2 | semidirect |
| 3. #10615612 | C2 | semidirect |
| 4. #10602879 | C2 | semidirect |
| 5. #10602854 | C2 | semidirect |
| 6. #10602243 | C2 | semidirect |
| 7. #10598305 | C2 | semidirect |
| 88. C2×#510 | D5 | semidirect |
| 399. C5 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#510 | 2 |
| #10615625 | 2 |
| #10615612 | 2 |
| #10602879 | 2 |
| #10602854 | 2 |
| #10602243 | 2 |
| #10598305 | 2 |
| #13335 | 5 |