Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ C4⋊C16 |
| Sylow | C5 ⋊ Dic3⋊C16 |
| Sylow | C3 ⋊ #64721 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bd,g^a=g^2,h^a=h^4264 conjugacy classes — view the full character table.
| maximal subgroup of | D15×C4⋊C16, C2×#11746322, D5×Dic3⋊C16, … |
| maximal normal subgroup of | D15×C4⋊C16, C2×#11746322, D5×Dic3⋊C16, … |
| maximal quotient of | #14278571, #14278620, #14278680, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 517);