Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of #92479 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#92481 |
| Fitting | C22×Q8×C31 ⋊ C2 |
| Sylow | C31 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16846042, #16846048, #16846064, … |
| maximal normal subgroup of | #16846042, #16846048, #16846064, … |
| maximal quotient of | C22×#11758397, C22×#11758423, C22×#11758396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1321);