Finite Group DatabasebetaFinite Group Databasebeta| order | 14656 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C229 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7328 |
Polycyclic presentation:
2^6,229|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^2283676 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14656, 1106);