Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #466×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3265 |
546 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=de,e^b=eg,h^b=h^72,e^d=eg,h^d=h^72821 conjugacy classes — view the full character table.
| maximal subgroup of | #3265×D73, C2×#22621423, #33961055, … |
| maximal normal subgroup of | #3265×D73, C2×#22621423, #33961055, … |
| maximal quotient of | #33075343, #33075463, #33075598, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16002);