Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic29 |
| Sylow | C29 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #16821341, SD32×Dic29, #16821348, … |
| maximal normal subgroup of | #16821341, SD32×Dic29, #16821348, … |
| maximal quotient of | Q16×#6597, #16818343, #16818389, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 644);