Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#11718699 |
| Fitting | C2×C13×#121 ⋊ C2 |
| Sylow | C13 ⋊ C2×#466 |
616 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #15762437, #15762439, #15762447, … |
| maximal normal subgroup of | #15762437, #15762439, #15762447, … |
| maximal quotient of | C2×#13114189, C2×#13114223, C2×#13114271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 14076);