Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#6599 |
| Sylow | C29 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#6599, #16835072, SD16×#6599, … |
| maximal normal subgroup of | D8×#6599, #16835072, SD16×#6599, … |
| maximal quotient of | D8×#6599, SD16×#6599, Q16×#6599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1575);