Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#92474 |
| Sylow | C31 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16845404, #16845405, #16845407, … |
| maximal normal subgroup of | #16845404, #16845405, #16845407, … |
| maximal quotient of | C22×#11758391, C2×C4×#92474, C22×C22⋊(C31⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1309);