Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
118 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 40 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. #10598656 | C2 | semidirect |
| 3. #10598642 | C2 | semidirect |
| 15. C5×Q32 | C8 | semidirect |
| 17. C5×D16 | C8 | semidirect |
| 61. Q32 | #170 | semidirect |
| 63. D16 | #170 | semidirect |
| 105. C5 | #7389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602305 | 2 |
| #10598656 | 2 |
| #10598642 | 2 |
| #7389 | 5 |