Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×C42×C13 ⋊ C2 |
| Sylow | C13 ⋊ #390 |
258 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 87 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|b^2=e,c^2=d,b^a=be,c^a=cf,g^a=g^12220 conjugacy classes — view the full character table.
| maximal subgroup of | #13112656, #13114791, #13115047, … |
| maximal normal subgroup of | #13112656, #13114791, #13115047, … |
| maximal quotient of | #13113066, #13113074, #13113076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 566);