Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C8×D4×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2968 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,d^c=dg,h^d=h^16370 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2968, C2×#14537772, #17898862, … |
| maximal normal subgroup of | D17×#2968, C2×#14537772, #17898862, … |
| maximal quotient of | #17032585, #17032587, #17032616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13498);