Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #563×C73 ⋊ C2 |
| Sylow | C73 ⋊ #2203 |
216 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 45 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|b^2=g,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,f^a=fg,h^a=h^72,d^b=dg,e^b=efg,d^c=df,e^c=eg,e^d=eg701 conjugacy classes — view the full character table.
| maximal subgroup of | #33006728, #33006729, #33006735, … |
| maximal normal subgroup of | #33006728, #33006729, #33006735, … |
| maximal quotient of | #32998052, #32998058, #32998217, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6531);