Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×(C2×D31)⋊C4 |
| Fitting | C23×C4×C31 ⋊ C2 |
| Sylow | C31 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | (C2×D31)⋊#95, #16843947, #16843949, … |
| maximal normal subgroup of | (C2×D31)⋊#95, #16843947, #16843949, … |
| maximal quotient of | C22×C31⋊#95, C2×C4×(C2×D31)⋊C4, C2×#14520904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 996);