Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D17×#444 |
| Fitting | C17×#444 ⋊ C2 |
| Sylow | C17 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2180, D17×AGL(1,ℤ/16), #17187769, … |
| maximal normal subgroup of | D17×#2180, D17×AGL(1,ℤ/16), #17187769, … |
| maximal quotient of | D17×SD16⋊C8, D17×#1579, D17×#1580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13402);