Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C17×#546 ⋊ C2 |
| Sylow | C17 ⋊ #3306 |
442 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^16,c^b=cg,d^b=de,f^c=fg229 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3306, C2×#14540745, #17911097, … |
| maximal normal subgroup of | D17×#3306, C2×#14540745, #17911097, … |
| maximal quotient of | #17049804, #17050666, #17051373, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 16471);