Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #500 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=d,c^2=ef,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^1562518 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098190, #34098192, #34098193, … |
| maximal normal subgroup of | #34098190, #34098192, #34098193, … |
| maximal quotient of | #34100296, #34100869, #34101097, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 954);