Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6118 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#6122 |
| Sylow | C13 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | #13130499, #13130502, C2×#11718291, … |
| maximal normal subgroup of | #13130499, #13130502, C2×#11718291, … |
| maximal quotient of | C22×#88110, C2×C4×#6122, C22×C22⋊#1057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1599);