Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C13×H(5,𝔽2) ⋊ C2 |
| Sylow | C13 ⋊ #577 |
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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|b^2=f,c^2=f,d^2=f,e^2=f,d^a=de,e^a=ef,g^a=g^12,c^b=cf,e^d=ef124 conjugacy classes — view the full character table.
| maximal subgroup of | #13126597, #13126600, #13126609, … |
| maximal normal subgroup of | #13126597, #13126600, #13126609, … |
| maximal quotient of | #13123362, #13123366, #13123429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1507);