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×#92469 |
| Fitting | C22×C8×C31 ⋊ C2 |
| 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 | #16845403, #16845406, #16845429, … |
| maximal normal subgroup of | #16845403, #16845406, #16845429, … |
| maximal quotient of | C22×#11758403, C2×C4×#92469, C22×(C2×D31)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1308);