Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#1055 |
| Sylow | C13 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113628, D8×#1055, SD16×#1055, … |
| maximal normal subgroup of | #13113628, D8×#1055, SD16×#1055, … |
| maximal quotient of | D8×#1055, SD16×#1055, Q16×#1055, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 637);