Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
378 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10598024 | C2 | direct (N × H) |
| 228. C2×C5 | #1328 | semidirect |
| 261. C5 | C2×#1328 | semidirect |
| 283. C2 | #10598024 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65408 | 2 |
| C2×C5×#349 | 2 |
| C2×#64773 | 2 |
| #10598024 | 2 |
| C2×#1328 | 5 |