Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 1. C2×C3×C5×D8 | C2 | semidirect |
| 2. C3×#4084 | C2 | semidirect |
| 3. C2×C3×C8×D5 | C2 | semidirect |
| 4. C3×#3964 | C2 | semidirect |
| 5. C3×#3950 | C2 | semidirect |
| 6. #65446 | C3 | direct (N × H) |
| 17. C2×C5×D8 | C2×C3 | semidirect |
| 18. #4084 | C2×C3 | semidirect |
| 19. C2×C8×D5 | C2×C3 | semidirect |
| 20. #3964 | C2×C3 | semidirect |
| 21. #3950 | C2×C3 | semidirect |
| 32. C3×C5×C8 | D4 | semidirect |
| 34. C2×C3×D8 | D5 | semidirect |
| 55. C2×C3×D5 | D8 | semidirect |
| 79. C5×C8 | C3×D4 | semidirect |
| 81. C2×D8 | C3×D5 | semidirect |
| 102. C3×C8 | C22⋊D5 | semidirect |
| 109. C2×D5 | C3×D8 | semidirect |
| 123. C3×C5 | #466 | semidirect |
| 151. C8 | C3×C22⋊D5 | semidirect |
| 157. C5 | C3×#466 | semidirect |
| 169. C3 | #65446 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×D8 | 2 |
| C3×#4084 | 2 |
| C2×C3×C8×D5 | 2 |
| C3×#3964 | 2 |
| C3×#3950 | 2 |
| #65446 | 3 |
| C3×#466 | 5 |