Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22548713 |
| Sylow | C251 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
2528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44550755, #44550756, #44550758, … |
| maximal normal subgroup of | #44550755, #44550756, #44550758, … |
| maximal quotient of | C2×#30631556, C2×#30631582, C2×#30631592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1091);