Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097710 |
| Fitting | C2×C16×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098275, C4×#19097710, #34101729, … |
| maximal normal subgroup of | #34098275, C4×#19097710, #34101729, … |
| maximal quotient of | C2×#23757048, C4×#19097710, C2×#23757052, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 963);