Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ #410 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=f,c^a=ce,e^a=ef,g^a=g^8,c^b=cf,d^c=df,g^d=g^1252 conjugacy classes — view the full character table.
| maximal subgroup of | #13129938, #13130595, #13130685, … |
| maximal normal subgroup of | #13129938, #13130595, #13130685, … |
| maximal quotient of | #13130070, #13130077, #13130079, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1122);