Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
| 10. C22×C5×Dic3 | C4 | semidirect |
| 60. C22×C3×C5 | C4⋊C4 | semidirect |
| 69. C5×Dic3 | C22⋊C4 | semidirect |
| 74. C22×Dic3 | Dic5 | semidirect |
| 129. C22×C5 | Dic3⋊C4 | semidirect |
| 149. C3×C5 | #380 | semidirect |
| 154. C22×C3 | C4⋊Dic5 | semidirect |
| 163. Dic3 | C22⋊Dic5 | semidirect |
| 193. C5 | #4942 | semidirect |
| 198. C22 | Dic3⋊Dic5 | semidirect |
| 208. C3 | #65501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C5×Dic3 | 2 |
| C2×#6719 | 2 |
| C2×C3×C22⋊Dic5 | 2 |
| C2×Dic3⋊Dic5 | 2 |
| #90994 | 2 |
| #65501 | 3 |
| #4942 | 5 |