Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#1057 |
| Sylow | C13 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
70 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#1057, #13130420, Q16×#1057, … |
| maximal normal subgroup of | SD16×#1057, #13130420, Q16×#1057, … |
| maximal quotient of | C4⋊C4×#1057, #13130889, #13130933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1123);