Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×#10597845 |
| Fitting | D8×C157 ⋊ C4 |
| Sylow | C157 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
301 conjugacy classes — view the full character table.
| maximal subgroup of | D16×#10597845, SD32×#10597845, #34116532, … |
| maximal normal subgroup of | D16×#10597845, SD32×#10597845, #34116532, … |
| maximal quotient of | D8×#11929441, #34115716, #34115717, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1585);