Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of #92479 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#92482 |
| Sylow | C31 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16844515, C8×#92482, #16844527, … |
| maximal normal subgroup of | #16844515, C8×#92482, #16844527, … |
| maximal quotient of | C8×#92482, #16844559, #16844561, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 642);