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,d^b=de,f^b=f^4322171 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D433, C2×#28357138, #42121792, … |
| maximal normal subgroup of | #101×D433, C2×#28357138, #42121792, … |
| maximal quotient of | #42121536, #42121552, #42121556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 64);