Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C433 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
Polycyclic presentation:
2^5,433|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^354,f^b=f^432,f^c=f^179,f^d=f^432236 conjugacy classes — view the full character table.
| maximal subgroup of | #42122911, #42122912, #42122915, … |
| maximal normal subgroup of | #42122911, #42122912, #42122915, … |
| maximal quotient of | #42122905, #42122908, C4⋊#20294109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 243);