Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| unambiguous semidirect product | D73⋊#421 |
| Fitting | C2×#41×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,e^2=g,f^2=g,b^a=be,c^a=cg,e^a=eg,h^a=h^27,e^b=eg,h^d=h^72,h^f=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008513, #34008515, #34008519, … |
| maximal normal subgroup of | #34008513, #34008515, #34008519, … |
| maximal quotient of | #34016356, #34016360, #34016364, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21137);