Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #518 |
338 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 151 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|d^2=e,c^a=cf,g^a=g^12,d^b=df154 conjugacy classes — view the full character table.
| maximal subgroup of | #13114943, #13115115, #13115118, … |
| maximal normal subgroup of | #13114943, #13115115, #13115118, … |
| maximal quotient of | #13117188, #13117189, #13117191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1157);