Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 158 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. C2×C5×Dic3⋊C4 | C2 | semidirect |
| 4. C3×C5×#95 | C2 | semidirect |
| 5. C5×C3⋊#95 | C2 | semidirect |
| 13. C2×C4×C5×D3 | C4 | semidirect |
| 16. #4667 | C5 | direct (N × H) |
| 21. C5×#95 | D3 | semidirect |
| 41. C2×Dic3⋊C4 | C2×C5 | semidirect |
| 42. C3×#95 | C2×C5 | semidirect |
| 43. C3⋊#95 | C2×C5 | semidirect |
| 63. C2×C5×D3 | C4⋊C4 | semidirect |
| 67. C5×Dic3 | C22⋊C4 | semidirect |
| 74. C2×C4×D3 | C4×C5 | semidirect |
| 98. #95 | C5×D3 | semidirect |
| 145. C3×C5 | #380 | semidirect |
| 155. C2×D3 | C5×C4⋊C4 | semidirect |
| 159. Dic3 | C5×C22⋊C4 | semidirect |
| 189. C5 | #4667 | direct (N × H) |
| 204. C3 | C5×#380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×C5×D3 | 2 |
| C2×C5×(C2×D3)⋊C4 | 2 |
| C2×C5×Dic3⋊C4 | 2 |
| C3×C5×#95 | 2 |
| C5×C3⋊#95 | 2 |
| C5×#380 | 3 |
| #4667 | 5 |