Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C13 ⋊ #2982 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=f,b^2=e,c^2=e,f^2=g,b^a=be,d^a=de,h^a=h^8,c^b=ce,h^f=h^12128 conjugacy classes — view the full character table.
| maximal subgroup of | #16782472, #16782473, #16782795, … |
| maximal normal subgroup of | #16782472, #16782473, #16782795, … |
| maximal quotient of | #16797524, #16797702, #16800756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21403);