Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C13×#575 ⋊ C2 |
| Sylow | C13 ⋊ #3018 |
724 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^7,13|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,f^b=fg,e^c=eg,h^c=h^12164 conjugacy classes — view the full character table.
| maximal subgroup of | #15868877, #15868884, #15868888, … |
| maximal normal subgroup of | #15868877, #15868884, #15868888, … |
| maximal quotient of | #15835021, #15835072, #15835123, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13856);