Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
284 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 88 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×#4015 | C2 | semidirect |
| 3. C2×#6658 | C2 | semidirect |
| 4. C4×C5×C3⋊C8 | C2 | semidirect |
| 16. #4015 | D3 | semidirect |
| 25. C5×C3⋊C8 | D4 | semidirect |
| 29. C4×C3⋊C8 | D5 | semidirect |
| 41. C3×C4×C5 | SD16 | semidirect |
| 73. C3⋊C8 | D20 | semidirect |
| 77. C4×C5 | #215 | semidirect |
| 87. C3×C5 | #492 | semidirect |
| 92. C3×C4 | #677 | semidirect |
| 108. C5 | #5085 | semidirect |
| 113. C4 | #6658 | semidirect |
| 115. C3 | #64982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91763 | 2 |
| C3×#4015 | 2 |
| C2×#6658 | 2 |
| C4×C5×C3⋊C8 | 2 |
| #64982 | 3 |
| #5085 | 5 |