Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C31 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,d^2=f,g^a=g^30,c^b=cf340 conjugacy classes — view the full character table.
| maximal subgroup of | #16845465, #16845510, #16845513, … |
| maximal normal subgroup of | #16845465, #16845510, #16845513, … |
| maximal quotient of | #16843992, #16843995, #16844001, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 505);