Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C13×#431 ⋊ C2 |
| Sylow | C13 ⋊ C8×#41 |
456 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^c=h^12320 conjugacy classes — view the full character table.
| maximal subgroup of | #15753624, #15753626, #15753631, … |
| maximal normal subgroup of | #15753624, #15753626, #15753631, … |
| maximal quotient of | #15861120, #15861125, C4×#11718386, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13466);