Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic251⋊C8 |
| Sylow | C251 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
4040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548304, #44550213, C4×Dic251⋊C8, … |
| maximal normal subgroup of | #44548304, #44550213, C4×Dic251⋊C8, … |
| maximal quotient of | C2×#30631437, C2×#30631439, #44549111, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 569);