Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#261 |
| Fitting | C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
70 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#261, #13130601, #13130873, … |
| maximal normal subgroup of | #104×#261, #13130601, #13130873, … |
| maximal quotient of | #117×#261, C4×D4×#261, C4×Q8×#261, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1596);