Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of D208 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#88040 |
| Fitting | C2×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
214 conjugacy classes — view the full character table.
| maximal subgroup of | #13116687, C4×#88040, #13116699, … |
| maximal normal subgroup of | #13116687, C4×#88040, #13116699, … |
| maximal quotient of | C2×#11718101, C2×#11718095, C2×#11718097, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 530);