Finite Group DatabasebetaFinite Group Databasebeta| order | 16768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C131 ⋊ #1744 |
296 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16768 |
Polycyclic presentation:
2^7,131|a^2=e,b^2=f,c^2=d,e^2=g,b^a=bd,h^a=h^1304240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16768, 4256);