Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C31 ⋊ C2 |
| 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,c^b=cf,g^c=g^30520 conjugacy classes — view the full character table.
| maximal subgroup of | #16847306, #16847309, #16847468, … |
| maximal normal subgroup of | #16847306, #16847309, #16847468, … |
| maximal quotient of | C8×#92469, #16843993, #16843999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 503);