Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#92469 |
| Fitting | C4×C8×C31 ⋊ C2 |
| Sylow | C31 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#92469, #16843990, #16843997, … |
| maximal normal subgroup of | C8×#92469, #16843990, #16843997, … |
| maximal quotient of | C8×#92469, #16843997, #16844005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 499);