Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D73⋊#443 |
| Fitting | #135×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,e^a=eg,h^a=h^46,e^b=eg,h^c=h^27,h^d=h^72,h^f=h^72308 conjugacy classes — view the full character table.
| maximal subgroup of | #34012573, #34012577, #34012592, … |
| maximal normal subgroup of | #34012573, #34012577, #34012592, … |
| maximal quotient of | D8×#11924036, SD16×#11924036, Q16×#11924036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21276);