Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578963 |
| Sylow | C157 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115799, #34115802, C2×#23758153, … |
| maximal normal subgroup of | #34115799, #34115802, C2×#23758153, … |
| maximal quotient of | C22×#19097826, C2×C4×#14578963, C22×C22⋊#11929441, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1621);