Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
502 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 87 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. #10602387 | C2 | semidirect |
| 3. #10602365 | C2 | semidirect |
| 4. #10598136 | C2 | semidirect |
| 5. C2×C5×#127 | C4 | semidirect |
| 9. C5×#394 | C4 | semidirect |
| 13. C5×#382 | C4 | semidirect |
| 93. C2×#127 | Dic5 | semidirect |
| 98. #394 | Dic5 | semidirect |
| 102. #382 | Dic5 | semidirect |
| 293. C5 | #11800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2619 | 2 |
| #10602387 | 2 |
| #10602365 | 2 |
| #10598136 | 2 |
| #11800 | 5 |