Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #3121 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|c^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,f^c=fg,h^d=h^72716 conjugacy classes — view the full character table.
| maximal subgroup of | #3121×D73, C2×#22620153, #33954344, … |
| maximal normal subgroup of | #3121×D73, C2×#22620153, #33954344, … |
| maximal quotient of | #33086078, #33089083, #33089102, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14732);