Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C73 ⋊ #2191 |
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=g,d^2=fg,f^2=g,b^a=bd,c^a=ce,d^a=df,f^a=fg,h^a=h^72,d^b=df,e^b=eg,f^b=fg,d^c=dg812 conjugacy classes — view the full character table.
| maximal subgroup of | #32998152, #32998153, #32998157, … |
| maximal normal subgroup of | #32998152, #32998153, #32998157, … |
| maximal quotient of | #32998098, #32998103, #32998109, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6461);