Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C42 |
No aliases for this group.
| Sylow | C17 ⋊ #1747 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,c^2=d,d^2=g,b^a=bd,f^a=fg,h^a=h^16,e^b=eg,h^b=h^16,h^c=h^16220 conjugacy classes — view the full character table.
| maximal subgroup of | #16944861, #16944863, #16944867, … |
| maximal normal subgroup of | #16944861, #16944863, #16944867, … |
| maximal quotient of | #16924764, #16924768, #16924772, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4266);