Finite Group DatabasebetaFinite Group Databasebeta| order | 16144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1009 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8072 |
Polycyclic presentation:
2^4,1009|a^2=c,c^2=d,b^a=bd,e^a=e^469,e^b=e^1008,e^c=e^10081018 conjugacy classes — view the full character table.
| maximal subgroup of | #44567933, #44567934, #44567939, … |
| maximal normal subgroup of | #44567933, #44567934, #44567939, … |
| maximal quotient of | #44567924, #44567926, C4⋊#22549054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16144, 50);