Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
394 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 3. #10598782 | C2 | semidirect |
| 4. #10598726 | C2 | semidirect |
| 192. D5 | #1323 | semidirect |
| 218. C5 | C2×#1323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#424 | 2 |
| D5⋊(C22⋊C16) | 2 |
| #10598782 | 2 |
| #10598726 | 2 |
| C2×#1323 | 5 |