Finite Group DatabasebetaFinite Group Databasebeta| order | 3968 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#14521803 |
| Fitting | C2×C31×#125 ⋊ C2 |
| Sylow | C31 ⋊ C2×#563 |
1024 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
458 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 18644);