Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C17×#405 ⋊ C2 |
| Sylow | C17 ⋊ #2875 |
556 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,e^2=g,b^a=bg,h^b=h^16,d^c=dg,h^d=h^16388 conjugacy classes — view the full character table.
| maximal subgroup of | #16949397, #17032902, #17032903, … |
| maximal normal subgroup of | #16949397, #17032902, #17032903, … |
| maximal quotient of | #16999916, #16999918, #16999935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12937);