Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C157 ⋊ #462 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^156,e^c=ef1111 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #462×D157, C2×#23757481, #34109587, … |
| maximal normal subgroup of | #462×D157, C2×#23757481, #34109587, … |
| maximal quotient of | #34099516, #34099520, #34099528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 757);