Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#104 ⋊ C2 |
| Sylow | C13 ⋊ #455 |
152 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 39 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|c^2=d,d^2=f,e^2=f,c^a=cd,d^a=df,g^a=g^12,c^b=ce,e^b=ef,e^c=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#455, C2×#11718486, #13124183, … |
| maximal normal subgroup of | D13×#455, C2×#11718486, #13124183, … |
| maximal quotient of | #13113789, #13113794, #13113817, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 452);