Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #1738 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,d^2=g,e^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,c^b=cg,h^b=h^13,h^f=h^16124 conjugacy classes — view the full character table.
| maximal subgroup of | #17956761, #17956763, #17956764, … |
| maximal normal subgroup of | #17956761, #17956763, #17956764, … |
| maximal quotient of | #17950403, #17950406, #17950413, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20203);