Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097845 |
| Sylow | C157 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115177, #34115178, #34115180, … |
| maximal normal subgroup of | #34115177, #34115178, #34115180, … |
| maximal quotient of | C2×#23758161, C4×#19097845, C2×C22⋊#14578957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1604);