Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C17×#408 ⋊ C2 |
| Sylow | C17 ⋊ #3012 |
764 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^16,e^b=eg,h^b=h^16,d^c=dg256 conjugacy classes — view the full character table.
| maximal subgroup of | #17065775, #17065777, #17065799, … |
| maximal normal subgroup of | #17065775, #17065777, #17065799, … |
| maximal quotient of | #17007531, #17007564, #17007619, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13817);