Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22548637 |
| Fitting | C22×C8×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
4028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44550179, C4×#22548637, #44550189, … |
| maximal normal subgroup of | #44550179, C4×#22548637, #44550189, … |
| maximal quotient of | C2×#30631416, #44548765, #44548791, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 537);