Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ #508 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=f,c^2=de,d^2=ef,e^2=f,c^a=cd,d^a=de,e^a=ef,g^a=g^12214 conjugacy classes — view the full character table.
| maximal subgroup of | #13113019, #13113021, #13113022, … |
| maximal normal subgroup of | #13113019, #13113021, #13113022, … |
| maximal quotient of | #13116544, #13116620, C4×D208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 531);