Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
112 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 45 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. C2×C3×C5×C16 | C2 | semidirect |
| 3. #91103 | C2 | semidirect |
| 14. C2×C5×C16 | D3 | semidirect |
| 25. C2×C3×C16 | D5 | semidirect |
| 56. C2×C16 | D15 | semidirect |
| 81. C3×C5 | #359 | semidirect |
| 101. C5 | #4510 | semidirect |
| 107. C3 | #64730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91793 | 2 |
| C2×C3×C5×C16 | 2 |
| #91103 | 2 |
| #64730 | 3 |
| #4510 | 5 |