Finite Group DatabasebetaFinite Group Databasebeta| order | 31904 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#16860614 |
| unambiguous semidirect product | D997⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#16860614)⋊C22 |
| Fitting | C23×C997 ⋊ C4 |
| Sylow | C997 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7976 |
2012 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31904, 223);