Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #1322 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^12,d^b=de284 conjugacy classes — view the full character table.
| maximal subgroup of | #15749541, #15749542, #15749543, … |
| maximal normal subgroup of | #15749541, #15749542, #15749543, … |
| maximal quotient of | #15749554, #15749556, #15749558, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2450);