Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 152 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. C2×Dic3⋊Dic5 | C2 | semidirect |
| 5. #90994 | C2 | semidirect |
| 15. C5×#217 | C4 | semidirect |
| 35. C2×C5×Dic3 | C2×C4 | semidirect |
| 60. C22×C3×C5 | C4⋊C4 | semidirect |
| 78. #217 | Dic5 | semidirect |
| 124. C2×Dic3 | C2×Dic5 | semidirect |
| 129. C22×C5 | Dic3⋊C4 | semidirect |
| 149. C3×C5 | #385 | semidirect |
| 154. C22×C3 | C4⋊Dic5 | semidirect |
| 193. C5 | #5210 | semidirect |
| 198. C22 | Dic3⋊Dic5 | semidirect |
| 208. C3 | #65239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C3×Dic5 | 2 |
| C2×#6719 | 2 |
| C2×C5×#217 | 2 |
| C2×Dic3⋊Dic5 | 2 |
| #90994 | 2 |
| #65239 | 3 |
| #5210 | 5 |