Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #137×C73 ⋊ C4 |
| Sylow | C73 ⋊ #2955 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,d^a=dg,e^a=eg,h^a=h^46,e^b=eg,h^b=h^72,h^c=h^27,h^f=h^72242 conjugacy classes — view the full character table.
| maximal subgroup of | #34022884, #34022885, #34022888, … |
| maximal normal subgroup of | #34022884, #34022885, #34022888, … |
| maximal quotient of | #34018276, #34018278, #34018279, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21283);