Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2512 |
| Fitting | C2×C16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
2518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098313, #34098315, #34098325, … |
| maximal normal subgroup of | #34098313, #34098315, #34098325, … |
| maximal quotient of | C2×#23757075, C2×#23757099, C4×D2512, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 970);