Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097846 |
| Sylow | C157 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115176, #34115188, #34115207, … |
| maximal normal subgroup of | #34115176, #34115188, #34115207, … |
| maximal quotient of | C2×#23758162, C4×#19097846, C2×#23758168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1606);