Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11758524 |
| Fitting | C22×Q8×C31 ⋊ C2 |
| 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 | #16846096, #16846112, #16846114, … |
| maximal normal subgroup of | #16846096, #16846112, #16846114, … |
| maximal quotient of | C2×#14520914, C2×#14520939, C2×#14520950, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1067);