Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×SD16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #2946 |
506 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,c^2=f,e^2=g,b^a=be,e^a=eg,e^b=eg,d^c=dg,h^c=h^72,h^d=h^721052 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2946×D73, C2×#22618758, #33950098, … |
| maximal normal subgroup of | #2946×D73, C2×#22618758, #33950098, … |
| maximal quotient of | #33055417, #33055608, #33055637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13337);