Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
200 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 61 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×C3×C5×Q16 | C2 | semidirect |
| 4. #91120 | C2 | semidirect |
| 5. #91103 | C2 | semidirect |
| 19. C2×C5×Q16 | D3 | semidirect |
| 36. C2×C3×Q16 | D5 | semidirect |
| 83. C2×Q16 | D15 | semidirect |
| 119. C3×C5 | #473 | semidirect |
| 144. C5 | #5192 | semidirect |
| 151. C3 | #65481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×Q16 | 2 |
| #91831 | 2 |
| #91790 | 2 |
| #91120 | 2 |
| #91103 | 2 |
| #65481 | 3 |
| #5192 | 5 |