Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ #442 |
132 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 51 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,e^2=f,b^a=be,e^a=ef,g^a=g^12,c^b=cf,e^b=ef142 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#442, C2×#11718675, #13123631, … |
| maximal normal subgroup of | D13×#442, C2×#11718675, #13123631, … |
| maximal quotient of | #13113658, #13113698, #13113700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 641);