Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #470 |
110 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 41 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|a^2=f,c^2=f,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^12,c^b=cef,d^c=df100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#470, C2×#11718713, #13124440, … |
| maximal normal subgroup of | D13×#470, C2×#11718713, #13124440, … |
| maximal quotient of | #13114323, #13114328, #13114357, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 679);