Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #452×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3190 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,h^b=h^72,f^c=fg,h^d=h^72716 conjugacy classes — view the full character table.
| maximal subgroup of | #3190×D73, C2×#22620710, #33956554, … |
| maximal normal subgroup of | #3190×D73, C2×#22620710, #33956554, … |
| maximal quotient of | #33095017, #33095024, #33096259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15289);