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 ⋊ #362 |
| Sylow | C5 ⋊ #4565 |
| Sylow | C3 ⋊ #64716 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=c,c^2=f,d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,h^a=h^4,d^b=def,e^b=ef,g^b=g^290 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64716, D5×#4565, C2×#11745921, … |
| maximal normal subgroup of | D3×#64716, D5×#4565, C2×#11745921, … |
| maximal quotient of | #14277877, #14278245, #14278477, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 116);