Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097842 |
| Sylow | C157 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
652 conjugacy classes — view the full character table.
| maximal subgroup of | #34115196, #34115197, #34115215, … |
| maximal normal subgroup of | #34115196, #34115197, #34115215, … |
| maximal quotient of | C2×#23758135, C2×#23758136, #34115686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1563);