Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C17×#433 ⋊ C2 |
| Sylow | C17 ⋊ #2921 |
392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=e,f^2=g,b^a=be,d^a=dg,c^b=cg,h^d=h^16268 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2921, C2×#14537418, #17898090, … |
| maximal normal subgroup of | D17×#2921, C2×#14537418, #17898090, … |
| maximal quotient of | #17031801, #17031869, #17032229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13144);