Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C113 ⋊ #2988 |
432 conjugacy classes of subgroups; only the 204 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 204 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 7232 |
Polycyclic presentation:
2^7,113|a^2=f,d^2=e,f^2=g,b^a=be,d^a=de,h^a=h^98,c^b=ce,h^b=h^112,h^c=h^112,h^d=h^112,h^f=h^112628 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21428);