Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C157 ⋊ #433 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,c^2=d,e^2=f,b^a=bd,c^b=cf,g^c=g^1561588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #433×D157, C2×#23757331, #34108770, … |
| maximal normal subgroup of | #433×D157, C2×#23757331, #34108770, … |
| maximal quotient of | #34099886, #34099904, #34099992, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 607);