Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
292 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #91234 | C2 | direct (N × H) |
| 84. C2×C3×C5 | #101 | semidirect |
| 118. C3×C5 | C2×#101 | semidirect |
| 129. C2×C5 | #836 | semidirect |
| 147. C2×C3 | #4005 | semidirect |
| 149. C5 | C2×#836 | semidirect |
| 158. C3 | C2×#4005 | semidirect |
| 161. C2 | #91234 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×Dic10 | 2 |
| C2×#6762 | 2 |
| #91234 | 2 |
| C2×#4005 | 3 |
| C2×#836 | 5 |