Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic502 |
| Sylow | C251 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
4040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548635, #44550288, #44550299, … |
| maximal normal subgroup of | #44548635, #44550288, #44550299, … |
| maximal quotient of | C23×Dic251⋊C4, C23×C4⋊Dic251, C22×C4×Dic502, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1373);