Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×Dic31⋊C4 |
| Sylow | C31 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Dic31⋊#95, #16843942, #16843944, … |
| maximal normal subgroup of | Dic31⋊#95, #16843942, #16843944, … |
| maximal quotient of | C22×C31⋊#95, C2×C4×Dic31⋊C4, C2×#14520907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 999);