Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#103 ⋊ C2 |
| Sylow | C13 ⋊ #419 |
150 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=f,c^2=d,e^2=f,c^a=cf,g^a=g^12,c^b=ce,e^b=ef,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#419, C2×#11718463, #13123351, … |
| maximal normal subgroup of | D13×#419, C2×#11718463, #13123351, … |
| maximal quotient of | #13113229, #13113255, #13113281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 429);