Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C13×C4⋊C8 ⋊ 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^12,c^b=ce160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113215, #13113217, #13113225, … |
| maximal normal subgroup of | #13113215, #13113217, #13113225, … |
| maximal quotient of | #13114580, #13114593, C4⋊C8×Dic13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 460);