Finite Group DatabasebetaFinite Group Databasebeta| order | 16144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1009 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8072 |
Polycyclic presentation:
2^4,1009|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1008,c^b=cd2527 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1009, C2×#30633320, #44567888, … |
| maximal normal subgroup of | SD16×D1009, C2×#30633320, #44567888, … |
| maximal quotient of | #44567790, #44567792, #44567800, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16144, 28);