Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 58 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. C5×#808 | C2 | semidirect |
| 4. C3×#3942 | C2 | semidirect |
| 5. #90988 | C2 | semidirect |
| 6. #90971 | C2 | semidirect |
| 26. #3942 | D3 | semidirect |
| 47. #808 | D5 | semidirect |
| 141. C3×C5 | #485 | semidirect |
| 174. C5 | #4814 | semidirect |
| 186. C3 | #65156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91781 | 2 |
| #91390 | 2 |
| C5×#808 | 2 |
| C3×#3942 | 2 |
| #90988 | 2 |
| #90971 | 2 |
| #90957 | 2 |
| #65156 | 3 |
| #4814 | 5 |