Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D17×#383 |
| Fitting | C17×#383 ⋊ C2 |
| Sylow | C17 ⋊ C2×#383 |
624 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1288, #16924178, D17×#1514, … |
| maximal normal subgroup of | D17×#1288, #16924178, D17×#1514, … |
| maximal quotient of | D17×#1434, #16955557, #383×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6898);