Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #367 |
| Sylow | C5 ⋊ #4505 |
| Sylow | C3 ⋊ #64710 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=c,d^2=ef,e^2=f,b^a=bdf,h^a=h^4,d^b=de,e^b=ef,g^b=g^2114 conjugacy classes — view the full character table.
| maximal subgroup of | #14314574, D3×#64710, D5×#4505, … |
| maximal normal subgroup of | #14314574, D3×#64710, D5×#4505, … |
| maximal quotient of | #14278658, #14278826, #14279765, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 137);