Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#10587677 |
| Fitting | C2×C42×C17 ⋊ C4 |
| Sylow | C17 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17950317, #17950318, #17950325, … |
| maximal normal subgroup of | #17950317, #17950318, #17950325, … |
| maximal quotient of | C4×#11763745, C42×C22⋊#595, C42×C4⋊#595, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20942);