Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C17×#135 ⋊ C2 |
| Sylow | C17 ⋊ #3035 |
496 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^16,f^c=fg262 conjugacy classes — view the full character table.
| maximal subgroup of | #17040764, #17040765, #17040775, … |
| maximal normal subgroup of | #17040764, #17040765, #17040775, … |
| maximal quotient of | #17016742, #17016750, #17016757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13961);