Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic29 |
| Sylow | C29 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16819283, #100×Dic29, #16819287, … |
| maximal normal subgroup of | #16819283, #100×Dic29, #16819287, … |
| maximal quotient of | M16×#6597, #16817773, #16817779, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 500);