Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C31 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,d^2=f,b^a=bc,g^b=g^30520 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#336, C2×#14520803, #16845403, … |
| maximal normal subgroup of | D31×#336, C2×#14520803, #16845403, … |
| maximal quotient of | C31⋊#1273, #16843539, #16843541, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 303);