Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C433 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
Polycyclic presentation:
2^5,433|a^2=d,d^2=e,f^a=f^179,c^b=ce,f^b=f^432,f^c=f^432,f^d=f^432560 conjugacy classes — view the full character table.
| maximal subgroup of | #42122854, #42122855, #42122856, … |
| maximal normal subgroup of | #42122854, #42122855, #42122856, … |
| maximal quotient of | #42122776, #42122786, #42122818, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 234);