Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C157 ⋊ #475 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^1561111 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099319, #34099320, #34099333, … |
| maximal normal subgroup of | #34099319, #34099320, #34099333, … |
| maximal quotient of | #34100138, #34100403, #34100711, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 831);