Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×SD16×C73 ⋊ C4 |
| Sylow | C73 ⋊ #2957 |
452 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,d^c=dg,h^c=h^27,h^f=h^72296 conjugacy classes — view the full character table.
| maximal subgroup of | #34025310, #34025312, #34025316, … |
| maximal normal subgroup of | #34025310, #34025312, #34025316, … |
| maximal quotient of | #34018300, #34018303, #34018308, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21288);