Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C42×C13 ⋊ C4 |
| Sylow | C13 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=e,c^a=cf,g^a=g^8,g^d=g^1288 conjugacy classes — view the full character table.
| maximal subgroup of | #13129659, #13129723, #13129725, … |
| maximal normal subgroup of | #13129659, #13129723, #13129725, … |
| maximal quotient of | C4×(C2×#261)⋊C4, #13130011, #13130012, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1023);