Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11763681 |
| Fitting | C2×M16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | #339×#595, C4×#11763681, #17956610, … |
| maximal normal subgroup of | #339×#595, C4×#11763681, #17956610, … |
| maximal quotient of | C2×#14543611, #17950370, #17950377, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20188);