Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D17×#466 |
| Fitting | C17×#466 ⋊ C2 |
| Sylow | C17 ⋊ C2×#466 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1347, #16944559, D17×#1349, … |
| maximal normal subgroup of | D17×#1347, #16944559, D17×#1349, … |
| maximal quotient of | D17×#1667, D17×#1673, D17×#1681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14074);