Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11758398 |
| Sylow | C31 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16845530, C4×#11758398, #16845540, … |
| maximal normal subgroup of | #16845530, C4×#11758398, #16845540, … |
| maximal quotient of | C2×#14520779, #16844113, #16844139, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 539);