Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C82 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1273 |
212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=d,b^2=e,d^2=f,e^2=g,b^a=bc,h^b=h^16592 conjugacy classes — view the full character table.
| maximal subgroup of | #16921096, #16921097, #16921109, … |
| maximal normal subgroup of | #16921096, #16921097, #16921109, … |
| maximal quotient of | #16920850, #16920851, #16920852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2337);