Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
124 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 51 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. #91103 | C2 | semidirect |
| 3. #91096 | C2 | semidirect |
| 74. C3×C5 | #361 | semidirect |
| 93. C5 | #4563 | semidirect |
| 99. C3 | #64783 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×D8 | 2 |
| #91103 | 2 |
| #91096 | 2 |
| #64783 | 3 |
| #4563 | 5 |