Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #416×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3315 |
382 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,h^b=h^72,f^c=fg1037 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3315×D73, C2×#22622023, #33962749, … |
| maximal normal subgroup of | #3315×D73, C2×#22622023, #33962749, … |
| maximal quotient of | #33101475, #33102343, #33103059, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16602);