Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
770 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 4. #10598820 | C2 | direct (N × H) |
| 37. C2×C22⋊Dic5 | C8 | semidirect |
| 102. C22⋊Dic5 | C2×C8 | semidirect |
| 296. C2×C5 | #1326 | semidirect |
| 355. C5 | C2×#1326 | semidirect |
| 397. C2 | #10598820 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65499 | 2 |
| C2×#64933 | 2 |
| #10598820 | 2 |
| C2×#1326 | 5 |