Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
402 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 93 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. C5×#2402 | C2 | semidirect |
| 4. #10598111 | C2 | semidirect |
| 5. #10598105 | C2 | semidirect |
| 41. #2402 | D5 | semidirect |
| 206. C5 | #10372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2402 | 2 |
| #10600262 | 2 |
| #10600233 | 2 |
| #10598111 | 2 |
| #10598105 | 2 |
| #10372 | 5 |