Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#10597845 |
| Fitting | Q16×C157 ⋊ C4 |
| Sylow | C157 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
301 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#10597845, Q32×#10597845, #34116532, … |
| maximal normal subgroup of | SD32×#10597845, Q32×#10597845, #34116532, … |
| maximal quotient of | Q16×#11929441, #34115723, #34115724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1587);