Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
172 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 43 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. #91118 | C2 | semidirect |
| 5. C2×C3×C5×D4 | C4 | semidirect |
| 7. C3×C42×C5 | C4 | semidirect |
| 23. C2×C5×D4 | Dic3 | semidirect |
| 25. C42×C5 | Dic3 | semidirect |
| 37. C2×C3×D4 | Dic5 | semidirect |
| 39. C3×C42 | Dic5 | semidirect |
| 72. C2×D4 | Dic15 | semidirect |
| 75. C42 | Dic15 | semidirect |
| 76. C3×C5 | #353 | semidirect |
| 101. C5 | #4545 | semidirect |
| 110. C3 | #64765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#127 | 2 |
| #91118 | 2 |
| #64765 | 3 |
| #4545 | 5 |