Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #452×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3225 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^72,c^b=ce,d^b=dg,h^b=h^72,f^c=fg710 conjugacy classes — view the full character table.
| maximal subgroup of | #3225×D73, C2×#22621044, #33957392, … |
| maximal normal subgroup of | #3225×D73, C2×#22621044, #33957392, … |
| maximal quotient of | #33095367, #33095750, #33096596, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15623);