Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C16×C157 ⋊ C4 |
| Sylow | C157 ⋊ #346 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^129,g^d=g^156664 conjugacy classes — view the full character table.
| maximal subgroup of | #34115245, #34115246, C2×#23758160, … |
| maximal normal subgroup of | #34115245, #34115246, C2×#23758160, … |
| maximal quotient of | #34115047, #11929441⋊C16, (C2×#10597845)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1436);