Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=d,c^2=e,e^2=f,b^a=bf,g^a=g^12232 conjugacy classes — view the full character table.
| maximal subgroup of | #13112921, #13112923, #13112924, … |
| maximal normal subgroup of | #13112921, #13112923, #13112924, … |
| maximal quotient of | C8×#6099, #13113119, #13113125, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 728);