Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
116 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 45 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. C3×C5×#106 | C2 | semidirect |
| 3. #91096 | C2 | semidirect |
| 8. Dic60 | C4 | semidirect |
| 9. D120 | C4 | semidirect |
| 14. C5×#106 | D3 | semidirect |
| 25. C3×#106 | D5 | semidirect |
| 58. #106 | D15 | semidirect |
| 83. C3×C5 | #360 | semidirect |
| 104. C5 | #4488 | semidirect |
| 111. C3 | #64708 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91793 | 2 |
| C3×C5×#106 | 2 |
| #91096 | 2 |
| #64708 | 3 |
| #4488 | 5 |