Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D17×#472 |
| Fitting | C17×#472 ⋊ C2 |
| Sylow | C17 ⋊ C2×#472 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2192, D17×#2193, #17188304, … |
| maximal normal subgroup of | D17×#2192, D17×#2193, #17188304, … |
| maximal quotient of | D17×#1667, D17×#1675, D17×#1677, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14213);