Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097716 |
| Fitting | C2×C16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
2518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101987, C4×#19097716, #34101999, … |
| maximal normal subgroup of | #34101987, C4×#19097716, #34101999, … |
| maximal quotient of | C2×#23757075, C2×#23757078, C2×#23757101, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 974);