Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C157 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=d,b^2=e,d^2=f,b^a=bf,g^a=g^129,g^c=g^156,g^d=g^156664 conjugacy classes — view the full character table.
| maximal subgroup of | #34114961, #34115013, #34115029, … |
| maximal normal subgroup of | #34114961, #34115013, #34115029, … |
| maximal quotient of | #34115332, #34115344, #34115350, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1508);