Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C433 ⋊ C4 |
| Sylow | C433 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3464 |
Polycyclic presentation:
2^5,433|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^179,f^d=f^432884 conjugacy classes — view the full character table.
| maximal subgroup of | #42122701, #42122702, C2×#28357274, … |
| maximal normal subgroup of | #42122701, #42122702, C2×#28357274, … |
| maximal quotient of | #42122652, #42122653, #42122676, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 200);