Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C157 ⋊ C2 |
| Sylow | C157 ⋊ #408 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,157|a^2=e,e^2=f,b^a=bd,g^a=g^156,c^b=cf,g^b=g^1561588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098073, #34100085, #34100098, … |
| maximal normal subgroup of | #34098073, #34100085, #34100098, … |
| maximal quotient of | #34098485, #34098489, #34098493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 517);