Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
448 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 5. C2×C5×C4⋊Q8 | C4 | semidirect |
| 8. C5×#400 | C4 | semidirect |
| 13. C5×#382 | C4 | semidirect |
| 90. C2×C4⋊Q8 | Dic5 | semidirect |
| 94. #400 | Dic5 | semidirect |
| 99. #382 | Dic5 | semidirect |
| 273. C5 | #11718 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2628 | 2 |
| #10602385 | 2 |
| #10602364 | 2 |
| #10598142 | 2 |
| #11718 | 5 |