Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D29 |
| Fitting | C29×#106 ⋊ C2 |
| Sylow | C29 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D29×#360, D29×#365, C2×#106×D29, … |
| maximal normal subgroup of | D29×#360, D29×#365, C2×#106×D29, … |
| maximal quotient of | D29×#334, #16818246, #16818261, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 578);