Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C73 ⋊ #1309 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=e,d^2=f,e^2=g,b^a=bc,c^a=cf,e^a=eg,h^a=h^27,c^b=cg,d^b=df,h^d=h^72386 conjugacy classes — view the full character table.
| maximal subgroup of | #34000947, #34000948, #34001003, … |
| maximal normal subgroup of | #34000947, #34000948, #34001003, … |
| maximal quotient of | #33999939, #33999940, #33999960, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19418);