Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#137×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3278 |
482 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=g,b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,c^b=cg,d^b=de,e^b=eg,h^c=h^72,e^d=eg821 conjugacy classes — view the full character table.
| maximal subgroup of | #3278×D73, C2×#22621591, #33961159, … |
| maximal normal subgroup of | #3278×D73, C2×#22621591, #33961159, … |
| maximal quotient of | #33077311, #33077427, #33077433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16170);