Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C3×C5×D16 ⋊ C2 |
| Hall | C3×C5 ⋊ D32 |
| Sylow | C5 ⋊ #4519 |
| Sylow | C3 ⋊ #64739 |
68 conjugacy classes of subgroups.
| minimal degree | μ(G) = 40 |
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=de,d^2=ef,e^2=f,b^a=bc,c^a=cd,d^a=de,e^a=ef,g^a=g^2,h^a=h^4,c^b=cd,d^b=de,e^b=ef96 conjugacy classes — view the full character table.
| maximal subgroup of | D15×D32, C2×#11746340, D5×#4519, … |
| maximal normal subgroup of | D15×D32, C2×#11746340, D5×#4519, … |
| maximal quotient of | #14279563, #14279566, #14279715, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 535);