Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C433 ⋊ C2 |
| Sylow | C433 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3464 |
Polycyclic presentation:
2^5,433|a^2=d,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 | #100×D433, C2×#28357136, #42121793, … |
| maximal normal subgroup of | #100×D433, C2×#28357136, #42121793, … |
| maximal quotient of | #42121534, #42121550, #42121554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 62);