Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 2. C3×#4039 | C2 | semidirect |
| 3. C3×C5×#107 | C2 | semidirect |
| 4. C3×C8×Dic5 | C2 | semidirect |
| 5. C3×#3941 | C2 | semidirect |
| 6. #65161 | C3 | direct (N × H) |
| 14. C3×D40 | C4 | semidirect |
| 17. #4039 | C2×C3 | semidirect |
| 18. C5×#107 | C2×C3 | semidirect |
| 19. C8×Dic5 | C2×C3 | semidirect |
| 20. #3941 | C2×C3 | semidirect |
| 27. C3×D20 | C2×C4 | semidirect |
| 29. C3×C5×C8 | C2×C4 | semidirect |
| 33. C3×#107 | D5 | semidirect |
| 43. D40 | C3×C4 | semidirect |
| 53. C3×Dic5 | D8 | semidirect |
| 68. D20 | C2×C3×C4 | semidirect |
| 70. C5×C8 | C2×C3×C4 | semidirect |
| 74. #107 | C3×D5 | semidirect |
| 90. C3×C8 | C4×D5 | semidirect |
| 99. Dic5 | C3×D8 | semidirect |
| 108. C3×C5 | C4×D8 | semidirect |
| 131. C8 | C3×C4×D5 | semidirect |
| 136. C5 | C3×C4×D8 | semidirect |
| 146. C3 | #65161 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×D40 | 2 |
| C3×#4039 | 2 |
| C3×C5×#107 | 2 |
| C3×C8×Dic5 | 2 |
| C3×#3941 | 2 |
| #65161 | 3 |
| C3×C4×D8 | 5 |