Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ #431 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=e,c^2=d,d^2=f,c^a=ce,g^a=g^12232 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#6094, #13113115, #13113118, … |
| maximal normal subgroup of | C8×#6094, #13113115, #13113118, … |
| maximal quotient of | #13114581, C4×#88060, C4×#88054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 312);