Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C31×#106 ⋊ C2 |
| Sylow | C31 ⋊ #485 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=f,b^2=f,c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^30,g^b=g^30,e^c=ef,g^c=g^30229 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#485, C2×#14521393, #16855621, … |
| maximal normal subgroup of | D31×#485, C2×#14521393, #16855621, … |
| maximal quotient of | #16845805, #16845909, #16846022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 893);