Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C13 ⋊ #491 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=f,c^2=e,d^2=f,b^a=be,c^a=cef,g^a=g^12,c^b=cd,d^b=df,d^c=df100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#491, C2×#11718458, #13125178, … |
| maximal normal subgroup of | D13×#491, C2×#11718458, #13125178, … |
| maximal quotient of | #13114968, #13115523, #13115524, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 424);