Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C73 ⋊ #2254 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=d,c^2=efg,e^2=fg,f^2=g,b^a=bd,c^a=ce,e^a=ef,f^a=fg,h^b=h^72830 conjugacy classes — view the full character table.
| maximal subgroup of | #33006903, #33006904, #2254×D73, … |
| maximal normal subgroup of | #33006903, #33006904, #2254×D73, … |
| maximal quotient of | #33002419, #33004017, #33004018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6791);