Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #447×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3012 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,d^c=dg,h^d=h^72716 conjugacy classes — view the full character table.
| maximal subgroup of | #3012×D73, C2×#22619230, #33952446, … |
| maximal normal subgroup of | #3012×D73, C2×#22619230, #33952446, … |
| maximal quotient of | #33059183, #33059219, #33059271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13809);