Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D157 |
| Fitting | D16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
880 conjugacy classes — view the full character table.
| maximal subgroup of | D32×D157, SD64×D157, #34102447, … |
| maximal normal subgroup of | D32×D157, SD64×D157, #34102447, … |
| maximal quotient of | #357×D157, #366×D157, #34101980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 968);