Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ #469 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=ef,e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,c^b=cf136 conjugacy classes — view the full character table.
| maximal subgroup of | #13112820, #13112822, #13112826, … |
| maximal normal subgroup of | #13112820, #13112822, #13112826, … |
| maximal quotient of | #13114315, #13114320, #13114349, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 762);