Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #3388 |
334 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=e,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,h^b=h^72,f^c=fg1037 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3388×D73, C2×#22622872, #33966541, … |
| maximal normal subgroup of | #3388×D73, C2×#22622872, #33966541, … |
| maximal quotient of | #33102651, #33102666, #33104292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 17451);