Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 71 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×#6706 | C2 | semidirect |
| 2. C2×C8×D15 | C2 | semidirect |
| 3. #91786 | C2 | semidirect |
| 5. C3×C5×#106 | C2 | semidirect |
| 6. #91094 | C2 | semidirect |
| 7. #91093 | C2 | semidirect |
| 27. C5×#106 | D3 | semidirect |
| 44. C3×C5×C8 | D4 | semidirect |
| 50. C3×#106 | D5 | semidirect |
| 73. C2×D15 | SD16 | semidirect |
| 107. C5×C8 | D12 | semidirect |
| 113. #106 | D15 | semidirect |
| 135. C3×C8 | D20 | semidirect |
| 163. C3×C5 | #465 | semidirect |
| 197. C8 | D60 | semidirect |
| 203. C5 | #4864 | semidirect |
| 217. C3 | #65153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6706 | 2 |
| C2×C8×D15 | 2 |
| #91786 | 2 |
| #91784 | 2 |
| C3×C5×#106 | 2 |
| #91094 | 2 |
| #91093 | 2 |
| #65153 | 3 |
| #4864 | 5 |