Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | #131×#595 |
| Fitting | C17×#131 ⋊ C4 |
| Sylow | C17 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #350×#595, #17960723, #443×#595, … |
| maximal normal subgroup of | #350×#595, #17960723, #443×#595, … |
| maximal quotient of | #131×#3624, #17963995, C8×#10587678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21077);