Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #427×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3076 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=e,d^2=g,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 | #33093812, #33093813, #33093823, … |
| maximal normal subgroup of | #33093812, #33093813, #33093823, … |
| maximal quotient of | #33085456, #33086926, #33086933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14296);