Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D13×AGL(1,ℤ/8) |
| Fitting | C13×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C13 ⋊ C2×AGL(1,ℤ/8) |
298 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 104 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#453, D13×#454, #13124204, … |
| maximal normal subgroup of | D13×#453, D13×#454, #13124204, … |
| maximal quotient of | D13×#418, D13×#417, D13×#428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1443);