Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 78 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. #91162 | C2 | semidirect |
| 5. #91161 | C2 | semidirect |
| 100. C3×D5 | #108 | semidirect |
| 135. C3×C5 | C2×#108 | semidirect |
| 147. D5 | #822 | semidirect |
| 165. C5 | C2×#822 | semidirect |
| 174. C3 | D5⋊#108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5⋊#208 | 2 |
| C3×D5⋊M16 | 2 |
| C2×D5×C3⋊C8 | 2 |
| #91162 | 2 |
| #91161 | 2 |
| D5⋊#108 | 3 |
| C2×#822 | 5 |