Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 93 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. #91837 | C2 | semidirect |
| 3. #91121 | C2 | semidirect |
| 4. #91103 | C2 | semidirect |
| 5. C8×Dic15 | C2 | semidirect |
| 8. C3×C5×Q16 | C4 | semidirect |
| 9. C3×C5×SD16 | C4 | semidirect |
| 10. C3×C5×D8 | C4 | semidirect |
| 40. C5×Q16 | Dic3 | semidirect |
| 41. C5×SD16 | Dic3 | semidirect |
| 42. C5×D8 | Dic3 | semidirect |
| 57. C3×Q16 | Dic5 | semidirect |
| 58. C3×SD16 | Dic5 | semidirect |
| 59. C3×D8 | Dic5 | semidirect |
| 103. Q16 | Dic15 | semidirect |
| 104. SD16 | Dic15 | semidirect |
| 105. D8 | Dic15 | semidirect |
| 112. C3×C5 | #443 | semidirect |
| 136. C5 | #5196 | semidirect |
| 143. C3 | #65485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#135 | 2 |
| #91837 | 2 |
| #91121 | 2 |
| #91103 | 2 |
| C8×Dic15 | 2 |
| #65485 | 3 |
| #5196 | 5 |