Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C13×#97 ⋊ C2 |
| Sylow | C13 ⋊ #2968 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^a=h^12,d^c=dg290 conjugacy classes — view the full character table.
| maximal subgroup of | #15759405, #15759409, #15759412, … |
| maximal normal subgroup of | #15759405, #15759409, #15759412, … |
| maximal quotient of | #15861187, #15861214, #15861338, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13504);