Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C31×#107 ⋊ C2 |
| Sylow | C31 ⋊ #357 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=ce,e^b=ef,g^b=g^30232 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#357, C2×#14520849, #16847416, … |
| maximal normal subgroup of | D31×#357, C2×#14520849, #16847416, … |
| maximal quotient of | #16843671, #16843719, #16843756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 349);