Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2008 |
| Fitting | C4×C8×C251 ⋊ C2 |
| Sylow | C251 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
4028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548325, #44548327, #44548331, … |
| maximal normal subgroup of | #44548325, #44548327, #44548331, … |
| maximal quotient of | C8×D2008, #44549196, #44549251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 633);