Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
588 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. #10602412 | C2 | semidirect |
| 4. #10598132 | C2 | semidirect |
| 6. C2×C4×C5×D4 | C4 | semidirect |
| 8. C5×#390 | C4 | semidirect |
| 12. C5×#382 | C4 | semidirect |
| 13. C5×#376 | C4 | semidirect |
| 61. C2×C5×D4 | C4⋊C4 | semidirect |
| 87. C42×C5 | C4⋊C4 | semidirect |
| 92. C2×C4×D4 | Dic5 | semidirect |
| 95. #390 | Dic5 | semidirect |
| 99. #382 | Dic5 | semidirect |
| 101. #376 | Dic5 | semidirect |
| 211. C2×D4 | C4⋊Dic5 | semidirect |
| 240. C42 | C4⋊Dic5 | semidirect |
| 292. C5 | #12799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2328 | 2 |
| C2×#64765 | 2 |
| #10602412 | 2 |
| #10598132 | 2 |
| #12799 | 5 |