Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#924 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ C2×#924 |
| Sylow | C3 ⋊ D5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4452, D5×#4467, D5⋊#4452, … |
| maximal normal subgroup of | D5×#4452, D5×#4467, D5⋊#4452, … |
| maximal quotient of | D5×#5212, D5×#5210, D5×#4933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8497);