Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#14268661)⋊C4 |
| Fitting | C2×C4×C113 ⋊ C16 |
| Sylow | C113 ⋊ #1374 |
160 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 62 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 904 |
Polycyclic presentation:
2^7,113|a^2=d,b^2=e,d^2=f,f^2=g,b^a=bc,h^a=h^40,h^d=h^18,h^f=h^98,h^g=h^112136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21776);