Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#13181884)⋊C4 |
| Fitting | C2×C4×C433 ⋊ C4 |
| Sylow | C433 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3464 |
Polycyclic presentation:
2^5,433|a^2=d,b^2=e,b^a=bc,f^a=f^179,f^d=f^432884 conjugacy classes — view the full character table.
| maximal subgroup of | #42122662, #42122663, #42122664, … |
| maximal normal subgroup of | #42122662, #42122663, #42122664, … |
| maximal quotient of | #42122676, #42122677, #42122678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 197);