Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11745177 |
| Sylow | C29 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
218 conjugacy classes — view the full character table.
| maximal subgroup of | #16821348, C4×#11745177, #16821360, … |
| maximal normal subgroup of | #16821348, C4×#11745177, #16821360, … |
| maximal quotient of | C2×#14270966, C2×#14270967, C2×#14270988, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 976);