Finite Group DatabasebetaFinite Group Databasebeta| order | 16528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic1033 |
| Sylow | C1033 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8264 |
Polycyclic presentation:
2^4,1033|a^2=d,b^a=bc,e^a=e^10324138 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45683044, #45683045, C22⋊C4×D1033, … |
| maximal normal subgroup of | #45683044, #45683045, C22⋊C4×D1033, … |
| maximal quotient of | #45683037, C22⋊#22551916, #45683045, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16528, 18);