Finite Group DatabasebetaFinite Group Databasebeta| order | 19904 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M32×C311 ⋊ C2 |
| Sylow | C311 ⋊ #350 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9952 |
Polycyclic presentation:
2^6,311|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^310,c^b=cf,d^b=df,g^b=g^3103128 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19904, 334);