Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| unambiguous semidirect product | D73⋊#410 |
| Fitting | C2×#41×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,c^2=g,b^a=be,e^a=eg,h^a=h^27,f^b=fg,h^d=h^72,h^f=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008415, #34008417, #34008434, … |
| maximal normal subgroup of | #34008415, #34008417, #34008434, … |
| maximal quotient of | #34015863, #34015873, #34015877, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21106);