Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11745181 |
| Sylow | C29 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817609, #16817610, C4×#11745181, … |
| maximal normal subgroup of | #16817609, #16817610, C4×#11745181, … |
| maximal quotient of | C2×#14270887, #16817813, #16817819, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 526);