Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D17×Q64 |
| Fitting | C17×Q64 ⋊ C2 |
| Sylow | C17 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
190 conjugacy classes — view the full character table.
| maximal subgroup of | D17×SD128, D17×Q128, #16955385, … |
| maximal normal subgroup of | D17×SD128, D17×Q128, #16955385, … |
| maximal quotient of | D17×#1416, D17×#1423, #16954907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6813);