Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
496 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 496 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 |
|---|---|---|
| 6. C22×C5×Q16 | C4 | semidirect |
| 13. C2×C5×#107 | C4 | semidirect |
| 14. C2×C5×#103 | C4 | semidirect |
| 107. C22×Q16 | Dic5 | semidirect |
| 115. C2×#107 | Dic5 | semidirect |
| 116. C2×#103 | Dic5 | semidirect |
| 297. C5 | #9814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#467 | 2 |
| #10602770 | 2 |
| C8×C22⋊Dic5 | 2 |
| #10602484 | 2 |
| #10602481 | 2 |
| #9814 | 5 |