Finite Group DatabasebetaFinite Group Databasebeta| order | 3904 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#6923 |
| Fitting | Q16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
133 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3904, 1587);