Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | SD16×Dic251 |
| Sylow | C251 ⋊ C4×SD16 |
122 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 59 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8032 |
1778 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×SD16×D251, C2×SD16×Dic251, C4×#22548736, … |
| maximal normal subgroup of | C4×SD16×D251, C2×SD16×Dic251, C4×#22548736, … |
| maximal quotient of | SD16×C251⋊C8, #44549202, #44549209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 638);