Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C157 ⋊ #498 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^1561114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34102305, #34102306, #498×D157, … |
| maximal normal subgroup of | #34102305, #34102306, #498×D157, … |
| maximal quotient of | #34100291, #34100862, #34100863, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 946);