Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | D8×C157 ⋊ C4 |
| Sylow | C157 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^28,d^b=df,g^c=g^129,g^e=g^156295 conjugacy classes — view the full character table.
| maximal subgroup of | #34116545, #34116546, #34116547, … |
| maximal normal subgroup of | #34116545, #34116546, #34116547, … |
| maximal quotient of | #34115732, #34115733, #34115734, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1590);