Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6118 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#1057 |
| Sylow | C13 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | #13129674, #13129679, C2×#11718305, … |
| maximal normal subgroup of | #13129674, #13129679, C2×#11718305, … |
| maximal quotient of | C2×#11718305, C2×#11718285, #13130067, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1134);