Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6129 |
| Fitting | C4×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ C4×#41 |
310 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113215, #13113220, #13113267, … |
| maximal normal subgroup of | #13113215, #13113220, #13113267, … |
| maximal quotient of | C4×#88131, C4×#88146, C4×#88135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1207);