Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#135×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3012 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,d^c=dg,h^c=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33117434, #33117437, #33117452, … |
| maximal normal subgroup of | #33117434, #33117437, #33117452, … |
| maximal quotient of | #33059184, #33059217, #33059272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13810);