Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C8×C157 ⋊ C2 |
| Sylow | C157 ⋊ #480 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^156,e^c=ef,g^c=g^1561579 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099123, #34099124, #34099135, … |
| maximal normal subgroup of | #34099123, #34099124, #34099135, … |
| maximal quotient of | #34100223, #34100326, #34100451, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 863);