Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6118 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊#261 |
| unambiguous semidirect product | D13⋊(C2×C4⋊C4) |
| Fitting | C22×C4×C13 ⋊ C4 |
| Sylow | C13 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | #13130013, #13130014, #13130016, … |
| maximal normal subgroup of | #13130013, #13130014, #13130016, … |
| maximal quotient of | C22×(C2×#261)⋊C4, C2×C4×C4⋊#261, C2×#11719136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1584);