Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C8×C13 ⋊ C4 |
| Sylow | C13 ⋊ #340 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=c,b^2=de,d^2=f,b^a=bd,d^a=df,g^a=g^8,g^c=g^1276 conjugacy classes — view the full character table.
| maximal subgroup of | #13129822, #13129823, #13129824, … |
| maximal normal subgroup of | #13129822, #13129823, #13129824, … |
| maximal quotient of | #13129666, #13129671, #13129690, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 231);