Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C31 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^30520 conjugacy classes — view the full character table.
| maximal subgroup of | #16843539, #16843603, #16843605, … |
| maximal normal subgroup of | #16843539, #16843603, #16843605, … |
| maximal quotient of | C4×C31⋊#95, #16843936, #16843938, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 395);