Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,d^2=e,e^2=f,g^a=g^129,c^b=cf,g^b=g^156,g^d=g^156430 conjugacy classes — view the full character table.
| maximal subgroup of | #34116524, #34116525, #34116527, … |
| maximal normal subgroup of | #34116524, #34116525, #34116527, … |
| maximal quotient of | #34116346, #34116347, #34116367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1608);