Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #452×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3002 |
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,h^a=h^72,e^b=eg,h^c=h^72,h^d=h^72722 conjugacy classes — view the full character table.
| maximal subgroup of | #3002×D73, C2×#22619152, #33952375, … |
| maximal normal subgroup of | #3002×D73, C2×#22619152, #33952375, … |
| maximal quotient of | #33058093, #33058144, #33058195, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13731);