Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C433 ⋊ #101 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
Polycyclic presentation:
2^5,433|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^179,d^b=de,f^d=f^432875 conjugacy classes — view the full character table.
| maximal subgroup of | #42122719, #42122720, #42122721, … |
| maximal normal subgroup of | #42122719, #42122720, #42122721, … |
| maximal quotient of | #42122656, #42122657, #42122668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 207);