Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C16×D52 |
| Fitting | C4×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ D4×C16 |
174 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 81 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15750356, #15750358, C16×#6104, … |
| maximal normal subgroup of | #15750356, #15750358, C16×#6104, … |
| maximal quotient of | C16×D104, C16×#6095, C16×Dic52, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6331);