Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D17×#473 |
| Fitting | C17×#473 ⋊ C2 |
| Sylow | C17 ⋊ C2×#473 |
448 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2194, D17×#2195, #17188313, … |
| maximal normal subgroup of | D17×#2194, D17×#2195, #17188313, … |
| maximal quotient of | D17×#1669, D17×#1673, D17×#1679, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14219);