Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#11763751 |
| unambiguous semidirect product | D17⋊#380 |
| Fitting | C23×C4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #17950577, #17950580, C2×#14543646, … |
| maximal normal subgroup of | #17950577, #17950580, C2×#14543646, … |
| maximal quotient of | C2×#14543958, C2×#14543960, C2×#14543962, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20952);