Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×#1204 |
| Hall | C3×C5 ⋊ C8×Q8 |
| Sylow | C5 ⋊ C8×Dic6 |
| Sylow | C3 ⋊ C8×Dic10 |
204 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14315941, #14315942, #14315943, … |
| maximal normal subgroup of | #14315941, #14315942, #14315943, … |
| maximal quotient of | C8×Dic3⋊Dic5, C8×#6668, C8×#6669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2013);