Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2896 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,h^a=h^16,e^b=eg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16939785, #16939791, #16939817, … |
| maximal normal subgroup of | #16939785, #16939791, #16939817, … |
| maximal quotient of | #17000700, #17000760, #17000779, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13030);