Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
112 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 37 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. #91225 | C2 | semidirect |
| 3. D5⋊(C3⋊C16) | C2 | semidirect |
| 81. C3×C5 | #359 | semidirect |
| 101. C5 | #4567 | semidirect |
| 107. C3 | #64905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4058 | 2 |
| #91225 | 2 |
| D5⋊(C3⋊C16) | 2 |
| #64905 | 3 |
| #4567 | 5 |