Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C157 ⋊ C2 |
| Sylow | C157 ⋊ #407 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^1561588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098071, #34100055, #34100058, … |
| maximal normal subgroup of | #34098071, #34100055, #34100058, … |
| maximal quotient of | #34098462, #34098465, #34098468, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 512);