Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D433⋊M16 |
| Sylow | C433 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3464 |
Polycyclic presentation:
2^5,433|a^2=d,d^2=e,b^a=be,f^a=f^179,f^c=f^432,f^d=f^432884 conjugacy classes — view the full character table.
| maximal subgroup of | #42122678, #42122680, #42122682, … |
| maximal normal subgroup of | #42122678, #42122680, #42122682, … |
| maximal quotient of | #42122770, C4×#20294106, C4×#20294107, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 231);