Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D17×#459 |
| Fitting | C17×#459 ⋊ C2 |
| Sylow | C17 ⋊ C2×#459 |
648 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
190 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1619, D17×#1622, D17×#1625, … |
| maximal normal subgroup of | D17×#1619, D17×#1622, D17×#1625, … |
| maximal quotient of | D17×#1665, D17×#1667, D17×#1669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13918);