Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1916 |
240 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=f,c^2=d,f^2=g,b^a=bd,c^a=ce,h^a=h^16,h^b=h^16376 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1916, C2×#14529343, #17036378, … |
| maximal normal subgroup of | D17×#1916, C2×#14529343, #17036378, … |
| maximal quotient of | #16932443, #16932450, #16932457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 5069);