Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C17×#95 ⋊ C2 |
| Sylow | C17 ⋊ #1439 |
780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=d,b^a=bd,c^a=ce,c^b=cf,h^b=h^16,h^c=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1439, C2×#14527028, #16956001, … |
| maximal normal subgroup of | D17×#1439, C2×#14527028, #16956001, … |
| maximal quotient of | #16922245, #16922248, #16922250, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2754);