Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#6599 |
| Sylow | C29 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#6599, #16835076, Q16×#6599, … |
| maximal normal subgroup of | SD16×#6599, #16835076, Q16×#6599, … |
| maximal quotient of | C4⋊C4×#6599, #16835545, #16835589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1597);