Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22548632 |
| Sylow | C251 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
2522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548482, #44548483, C4×#22548632, … |
| maximal normal subgroup of | #44548482, #44548483, C4×#22548632, … |
| maximal quotient of | C2×#30631411, #44548686, #44548692, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 526);