Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11763775 |
| Fitting | C2×M16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17956602, #17956605, #17956626, … |
| maximal normal subgroup of | #17956602, #17956605, #17956626, … |
| maximal quotient of | C2×M16×#3624, M16×#63242, C2×#14543982, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21072);