Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of #92470 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#92470 |
| Fitting | C22×C8×C31 ⋊ C2 |
| Sylow | C31 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16846044, #16846046, #16846065, … |
| maximal normal subgroup of | #16846044, #16846046, #16846065, … |
| maximal quotient of | C22×#11758409, C22×#11758404, C22×#11758405, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1323);