Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
370 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 103 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. C5×#1388 | C2 | semidirect |
| 5. #10598311 | C2 | semidirect |
| 6. #10598224 | C2 | semidirect |
| 7. #10598222 | C2 | semidirect |
| 60. #1388 | D5 | semidirect |
| 258. C5 | #12876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65182 | 2 |
| C2×#64734 | 2 |
| #10601505 | 2 |
| C5×#1388 | 2 |
| #10598311 | 2 |
| #10598224 | 2 |
| #10598222 | 2 |
| #12876 | 5 |