Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C73 ⋊ #1315 |
116 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^10,c^b=cg,d^b=deg,h^b=h^72,h^d=h^27,h^f=h^72128 conjugacy classes — view the full character table.
| maximal subgroup of | #34033030, #34033078, #34033530, … |
| maximal normal subgroup of | #34033030, #34033078, #34033530, … |
| maximal quotient of | #34032764, #34032766, #34032768, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21534);