Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Hall | C3×C5 ⋊ C4×C22⋊C4 |
| Sylow | C5 ⋊ C4×(C2×D3)⋊C4 |
| Sylow | C3 ⋊ #64955 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=d,c^2=e,h^a=h^4,c^b=cf,g^b=g^2144 conjugacy classes — view the full character table.
| maximal subgroup of | #14295190, #14295192, #14295253, … |
| maximal normal subgroup of | #14295190, #14295192, #14295253, … |
| maximal quotient of | Dic5×C3⋊#95, #14279870, #14279903, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3070);