Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #449×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3106 |
434 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,f^c=fg,h^d=h^72722 conjugacy classes — view the full character table.
| maximal subgroup of | #3106×D73, C2×#22619984, #33954074, … |
| maximal normal subgroup of | #3106×D73, C2×#22619984, #33954074, … |
| maximal quotient of | #33086014, #33088960, #33088964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14563);