Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C13 ⋊ #1726 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^7,13|a^2=d,b^2=e,c^2=f,d^2=g,h^a=h^12,c^b=cg320 conjugacy classes — view the full character table.
| maximal subgroup of | #15753357, #15753361, #15753365, … |
| maximal normal subgroup of | #15753357, #15753361, #15753365, … |
| maximal quotient of | #15752273, #15752276, #15752282, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 4197);