Finite Group DatabasebetaFinite Group Databasebeta| order | 1696 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C53 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 424 |
Polycyclic presentation:
2^5,53|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^52,d^b=de271 conjugacy classes — view the full character table.
| maximal subgroup of | #16810409, #16810410, #16810412, … |
| maximal normal subgroup of | #16810409, #16810410, #16810412, … |
| maximal quotient of | #16810347, #16810363, #16810367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1696, 63);