Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C17 ⋊ #3270 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=de,e^b=eg,h^b=h^16,e^d=eg229 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3270, C2×#14540350, #17909395, … |
| maximal normal subgroup of | D17×#3270, C2×#14540350, #17909395, … |
| maximal quotient of | #17023757, #17023877, #17024057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 16076);