Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×C22⋊C8 ⋊ C2 |
| Sylow | C13 ⋊ #408 |
158 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 158 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|c^2=d,d^2=f,b^a=bf,g^a=g^12,c^b=ce148 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#408, C2×#11718388, #13123278, … |
| maximal normal subgroup of | D13×#408, C2×#11718388, #13123278, … |
| maximal quotient of | #13113181, #13113183, #13113186, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 354);