Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1256 |
| Fitting | C4×C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098096, #34098098, #34098102, … |
| maximal normal subgroup of | #34098096, #34098098, #34098102, … |
| maximal quotient of | C8×D1256, #34098967, #34099022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 633);