Finite Group DatabasebetaFinite Group Databasebeta| order | 992 |
| isoclinism | isoclinic class of Dic62 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#92469 |
| Fitting | C2×C8×C31 ⋊ C2 |
| Sylow | C31 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14520830, C4×#92469, #14521001, … |
| maximal normal subgroup of | #14520830, C4×#92469, #14521001, … |
| maximal quotient of | C2×#11758403, C4×#92469, C2×(C2×D31)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(992, 95);