Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#11745214 |
| Sylow | C29 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | #16834533, #16834534, #16834536, … |
| maximal normal subgroup of | #16834533, #16834534, #16834536, … |
| maximal quotient of | C2×#14272051, C4×#11745214, C2×C22⋊#90770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1604);