Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of #90782 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#90784 |
| Fitting | C22×Q8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819823, #16819829, #16819845, … |
| maximal normal subgroup of | #16819823, #16819829, #16819845, … |
| maximal quotient of | C22×#11745157, C22×#11745183, C22×#11745156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1321);