Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #91225 | C2 | semidirect |
| 4. #91224 | C2 | semidirect |
| 85. C3×D5 | #108 | semidirect |
| 116. C3×C5 | C2×#108 | semidirect |
| 128. D5 | #819 | semidirect |
| 145. C5 | C2×#819 | semidirect |
| 154. 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 |
| C2×C3×C8×D5 | 2 |
| #91225 | 2 |
| #91224 | 2 |
| D5⋊#108 | 3 |
| C2×#819 | 5 |