Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 80 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. C4×C3⋊#168 | C2 | semidirect |
| 3. C5×#803 | C2 | semidirect |
| 4. #90982 | C2 | semidirect |
| 31. #803 | D5 | semidirect |
| 93. C3×C5 | #433 | semidirect |
| 115. C5 | #5000 | semidirect |
| 123. C3 | #64998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4018 | 2 |
| C4×C3⋊#168 | 2 |
| C5×#803 | 2 |
| #90982 | 2 |
| #90955 | 2 |
| #64998 | 3 |
| #5000 | 5 |