Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| unambiguous semidirect product | D73⋊#413 |
| Sylow | C73 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,c^2=g,f^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 | #34008421, #34008422, #34008429, … |
| maximal normal subgroup of | #34008421, #34008422, #34008429, … |
| maximal quotient of | #34015863, #34015868, #34015881, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21118);