Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C4×C13 ⋊ C4 |
| Sylow | C13 ⋊ #380 |
234 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,b^a=bf,c^a=ce,g^a=g^8,g^d=g^1276 conjugacy classes — view the full character table.
| maximal subgroup of | #13129698, #13129699, #13129710, … |
| maximal normal subgroup of | #13129698, #13129699, #13129710, … |
| maximal quotient of | #13130010, #13130012, #13130014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1102);