Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#10587678 |
| Sylow | C17 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17951903, #17951907, #17951911, … |
| maximal normal subgroup of | #17951903, #17951907, #17951911, … |
| maximal quotient of | C8×#10587678, #17964026, #17964092, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21078);