Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C82 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #1273 |
212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^7,13|a^2=d,b^2=e,d^2=f,e^2=g,b^a=bc,h^b=h^12464 conjugacy classes — view the full character table.
| maximal subgroup of | #15749691, #15749692, #15749704, … |
| maximal normal subgroup of | #15749691, #15749692, #15749704, … |
| maximal quotient of | #15749445, #15749446, #15749447, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2337);