Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×C4⋊C8 ⋊ C2 |
| Sylow | C13 ⋊ #459 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=df,d^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=ce139 conjugacy classes — view the full character table.
| maximal subgroup of | #13113891, #13113892, #13113902, … |
| maximal normal subgroup of | #13113891, #13113892, #13113902, … |
| maximal quotient of | #13114178, #13114192, #13114202, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 470);