Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578964 |
| Sylow | C157 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115800, #34115803, C2×#23758143, … |
| maximal normal subgroup of | #34115800, #34115803, C2×#23758143, … |
| maximal quotient of | C22×#19097826, C2×C4×#14578964, C22×#19097828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1623);