Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14578964 |
| Sylow | C157 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
664 conjugacy classes — view the full character table.
| maximal subgroup of | #34114967, #34114968, #34114997, … |
| maximal normal subgroup of | #34114967, #34114968, #34114997, … |
| maximal quotient of | C8×#14578964, #34115346, #34115356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1511);