Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C31 ⋊ #365 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^30,d^b=df316 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#365, C2×#14520872, #16847482, … |
| maximal normal subgroup of | D31×#365, C2×#14520872, #16847482, … |
| maximal quotient of | #16843777, #16843810, C2×#14520872 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 372);