Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11758424 |
| Sylow | C31 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
322 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16843837, #16843838, C4×#11758424, … |
| maximal normal subgroup of | #16843837, #16843838, C4×#11758424, … |
| maximal quotient of | C2×#14520775, #16844035, #16844041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 529);