Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C433 ⋊ C2 |
| Sylow | C433 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
Polycyclic presentation:
2^5,433|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^432,c^b=ce,f^b=f^4323470 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D433, C2×#28357142, #42121806, … |
| maximal normal subgroup of | #102×D433, C2×#28357142, #42121806, … |
| maximal quotient of | #42121540, #42121546, #42121554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 68);