Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #542 |
| Sylow | C5 ⋊ #5662 |
| Sylow | C3 ⋊ #66044 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=ef,d^2=ef,c^a=cf,d^a=def,h^a=h^4,c^b=cef,d^b=df,g^b=g^2,d^c=df84 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5662, #14481359, C2×#11753628, … |
| maximal normal subgroup of | D5×#5662, #14481359, C2×#11753628, … |
| maximal quotient of | #14322770, #14323220, #14323335, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7823);