Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#14268661 |
| unambiguous semidirect product | (C2×#14268661)⋊C22 |
| Fitting | C23×C113 ⋊ C16 |
| Sylow | C113 ⋊ C2×C22⋊C16 |
272 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 84 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 904 |
136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21796);