Finite Group DatabasebetaFinite Group Databasebeta| order | 16208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1013 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8104 |
Polycyclic presentation:
2^4,1013|a^2=c,c^2=d,b^a=bd,e^a=e^968,e^b=e^1012,e^c=e^10121022 conjugacy classes — view the full character table.
| maximal subgroup of | #44569716, #44569717, #44569722, … |
| maximal normal subgroup of | #44569716, #44569717, #44569722, … |
| maximal quotient of | #44569707, #44569709, C4⋊#22549208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16208, 50);