Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C24×C157 ⋊ C4 |
| Sylow | C157 ⋊ #379 |
506 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=f,b^a=bd,c^a=ce,g^a=g^129,g^f=g^156652 conjugacy classes — view the full character table.
| maximal subgroup of | #34115035, #34115962, #34115963, … |
| maximal normal subgroup of | #34115035, #34115962, #34115963, … |
| maximal quotient of | #34115310, #34115318, #34115326, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1490);