Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #465 |
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^12,c^b=ce,d^c=df106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#465, C2×#11718702, #13124414, … |
| maximal normal subgroup of | D13×#465, C2×#11718702, #13124414, … |
| maximal quotient of | #13114175, #13114182, #13114209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 668);