Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #1327 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^7,17|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,e^a=eg,d^b=deg,h^b=h^16,d^c=dg202 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1327, C2×#14526734, #16943510, … |
| maximal normal subgroup of | D17×#1327, C2×#14526734, #16943510, … |
| maximal quotient of | #16920958, #16920960, #16920969, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2460);