Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D17×#421 |
| Fitting | C17×#421 ⋊ C2 |
| Sylow | C17 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1794, #17033649, D17×#1795, … |
| maximal normal subgroup of | D17×#1794, #17033649, D17×#1795, … |
| maximal quotient of | D17×#1478, D17×#1479, D17×#1477, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13049);