Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#11758453 |
| Fitting | C2×C42×C31 ⋊ C2 |
| Sylow | C31 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16844078, #16844081, #16848259, … |
| maximal normal subgroup of | #16844078, #16844081, #16848259, … |
| maximal quotient of | C2×#14520917, C2×#14520933, C2×#14520940, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1074);