Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C8×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ #2972 |
500 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^7,13|a^2=f,f^2=g,b^a=be,d^a=de,c^b=ce,h^d=h^12308 conjugacy classes — view the full character table.
| maximal subgroup of | #15832350, #15832352, #15832354, … |
| maximal normal subgroup of | #15832350, #15832352, #15832354, … |
| maximal quotient of | #15861589, #15861647, #15861804, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13531);