Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
436 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 110 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. C5×C3⋊#95 | C2 | semidirect |
| 5. C3×#3963 | C2 | semidirect |
| 6. #90994 | C2 | semidirect |
| 7. #90994 | C2 | semidirect |
| 18. C2×#1200 | C4 | semidirect |
| 28. #3963 | D3 | semidirect |
| 62. C3⋊#95 | D5 | semidirect |
| 209. C3×C5 | #381 | semidirect |
| 273. C5 | #4664 | semidirect |
| 294. C3 | #64953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1200 | 2 |
| C2×#6714 | 2 |
| C2×#6667 | 2 |
| C5×C3⋊#95 | 2 |
| C3×#3963 | 2 |
| #90994 | 2 |
| #64953 | 3 |
| #4664 | 5 |