Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D157⋊C16 |
| unambiguous semidirect product | D157⋊(C2×C16) |
| derived, Sylow | C157 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | (C2×#10597845)⋊C16, #34115192, #34115193, … |
| maximal normal subgroup of | (C2×#10597845)⋊C16, #34115192, #34115193, … |
| maximal quotient of | C4×D157⋊C16, C2×#23758159, D157⋊(C22⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1603);