Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 147 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. #91099 | C2 | semidirect |
| 5. C8×Dic15 | C2 | semidirect |
| 8. C2×C3×C5×C8 | C4 | semidirect |
| 14. #6710 | C4 | semidirect |
| 37. C2×C5×C8 | Dic3 | semidirect |
| 54. C2×C3×C8 | Dic5 | semidirect |
| 98. C2×C8 | Dic15 | semidirect |
| 104. C3×C5 | #405 | semidirect |
| 127. C5 | #5101 | semidirect |
| 135. C3 | #65390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C5×C8 | 2 |
| #91815 | 2 |
| C2×#6710 | 2 |
| #91099 | 2 |
| C8×Dic15 | 2 |
| #65390 | 3 |
| #5101 | 5 |