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 ⋊ Dic3×C22⋊C4 |
| Sylow | C3 ⋊ #64955 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=d,c^2=e,c^a=cf,h^a=h^4,c^b=cf,g^b=g^2132 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64955, D5×Dic3×C22⋊C4, C4×#91473, … |
| maximal normal subgroup of | D3×#64955, D5×Dic3×C22⋊C4, C4×#91473, … |
| maximal quotient of | #14279849, #14279869, #14279904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3079);