Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
236 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 83 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. C3×C5×#107 | C2 | semidirect |
| 5. #91101 | C2 | semidirect |
| 6. #91092 | C2 | semidirect |
| 7. #91091 | C2 | semidirect |
| 20. #6705 | C4 | semidirect |
| 25. C5×#107 | D3 | semidirect |
| 39. C3×C5×C8 | C2×C4 | semidirect |
| 40. C3⋊#168 | C2×C4 | semidirect |
| 44. C3×#107 | D5 | semidirect |
| 94. C5×C8 | C4×D3 | semidirect |
| 100. #107 | D15 | semidirect |
| 117. C3×C8 | C4×D5 | semidirect |
| 142. C3×C5 | #428 | semidirect |
| 169. C8 | C4×D15 | semidirect |
| 174. C5 | #4881 | semidirect |
| 186. C3 | #65170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6705 | 2 |
| #91781 | 2 |
| C4⋊C4×D15 | 2 |
| C3×C5×#107 | 2 |
| #91101 | 2 |
| #91092 | 2 |
| #91091 | 2 |
| #65170 | 3 |
| #4881 | 5 |