Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10598127 | C2 | semidirect |
| 5. #10598118 | C2 | semidirect |
| 88. C22×C4×C5 | M16 | semidirect |
| 100. C5×C22⋊C4 | M16 | semidirect |
| 258. C22×C4 | #681 | semidirect |
| 276. C22⋊C4 | #681 | semidirect |
| 339. C5 | #11526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#123 | 2 |
| #10602396 | 2 |
| #10602395 | 2 |
| #10598127 | 2 |
| #10598118 | 2 |
| #11526 | 5 |