Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3102 |
396 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^72,f^c=fg,h^c=h^721046 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33055887, #33055897, #33055940, … |
| maximal normal subgroup of | #33055887, #33055897, #33055940, … |
| maximal quotient of | #33086010, #33088915, #33088936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14526);