Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#11763759 |
| unambiguous semidirect product | D17⋊#388 |
| Fitting | C2×C22⋊C4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#388 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | #17951783, C4×#11763759, #388×#595, … |
| maximal normal subgroup of | #17951783, C4×#11763759, #388×#595, … |
| maximal quotient of | C2×#14543959, C2×#14543964, C2×#14543965, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20963);