Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#11763676 |
| Fitting | C2×C42×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11763676, #17956596, #17956603, … |
| maximal normal subgroup of | C4×#11763676, #17956596, #17956603, … |
| maximal quotient of | C2×#14543607, C2×#14543608, #17950317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20179);