Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #107×D157 |
| Fitting | #107×C157 ⋊ C2 |
| Sylow | C157 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1120 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #357×D157, #358×D157, #34101845, … |
| maximal normal subgroup of | #357×D157, #358×D157, #34101845, … |
| maximal quotient of | #335×D157, #34098893, #34098909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 581);