Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. D5×C22⋊C16 | C2 | semidirect |
| 3. C5×#1314 | C2 | semidirect |
| 4. #10598164 | C2 | semidirect |
| 5. #10598015 | C2 | semidirect |
| 51. #1314 | D5 | semidirect |
| 62. C2×C22⋊D5 | C16 | semidirect |
| 107. C23×C5 | C2×C16 | semidirect |
| 130. C2×Dic5 | C2×C16 | semidirect |
| 242. C23 | D5×C16 | semidirect |
| 269. C5 | #11465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65014 | 2 |
| D5×C22⋊C16 | 2 |
| C5×#1314 | 2 |
| #10598164 | 2 |
| #10598015 | 2 |
| #11465 | 5 |