Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #365 |
| Sylow | C5 ⋊ #4513 |
| Sylow | C3 ⋊ #64733 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,d^2=e,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^2,h^a=h^4,c^b=cf156 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#365, C2×#11746334, D5×#4513, … |
| maximal normal subgroup of | D15×#365, C2×#11746334, D5×#4513, … |
| maximal quotient of | #14278589, #14278880, C2×#11746334 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 529);