Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91838 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C5 ⋊ C2×#949 |
| Sylow | C3 ⋊ C2×#4095 |
596 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 171 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
162 conjugacy classes — view the full character table.
| maximal subgroup of | #14301300, #14301306, #14301330, … |
| maximal normal subgroup of | #14301300, #14301306, #14301330, … |
| maximal quotient of | C2×#11751102, C2×#11751333, C2×#11751096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10774);