Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11758513 |
| Sylow | C31 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16846097, #16846099, #16846111, … |
| maximal normal subgroup of | #16846097, #16846099, #16846111, … |
| maximal quotient of | C2×#14520914, C2×#14520943, C2×#14520952, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1065);