Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14578937 |
| Fitting | C4×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14578937, #34098415, #34098422, … |
| maximal normal subgroup of | C8×#14578937, #34098415, #34098422, … |
| maximal quotient of | C8×#14578937, #34098422, #34098430, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 499);