Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊(C31⋊C16) |
| Sylow | C31 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,d^2=e,e^2=f,b^a=bc,g^a=g^30520 conjugacy classes — view the full character table.
| maximal subgroup of | #16843634, #16843635, #16843636, … |
| maximal normal subgroup of | #16843634, #16843635, #16843636, … |
| maximal quotient of | #16843635, #16843651, D4⋊(C31⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 329);