Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 72 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. C2×C5×Dic12 | C2 | semidirect |
| 3. #91375 | C2 | semidirect |
| 4. C2×#6660 | C2 | semidirect |
| 5. C3×C8×Dic5 | C2 | semidirect |
| 21. C8×Dic5 | D3 | semidirect |
| 32. C2×Dic12 | D5 | semidirect |
| 107. C3×C5 | #495 | semidirect |
| 131. C5 | #4696 | semidirect |
| 139. C3 | #65480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D120 | 2 |
| C2×C5×Dic12 | 2 |
| #91375 | 2 |
| C2×#6660 | 2 |
| C3×C8×Dic5 | 2 |
| #65480 | 3 |
| #4696 | 5 |