Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#11745179 |
| Sylow | C29 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
488 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817334, #16817370, #16817372, … |
| maximal normal subgroup of | #16817334, #16817370, #16817372, … |
| maximal quotient of | C4×#11745179, #16817714, #16817715, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 393);