Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of #90796 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#90800 |
| Sylow | C29 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | #16835155, #16835158, C2×#14272043, … |
| maximal normal subgroup of | #16835155, #16835158, C2×#14272043, … |
| maximal quotient of | C22×#11745218, C2×C4×#90800, C22×C22⋊#6599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1621);