Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ #1409 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=g,c^2=fg,e^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^27,c^b=cfg,d^b=def,e^b=eg,h^b=h^72,d^c=dfg,e^d=eg,h^d=h^72593 conjugacy classes — view the full character table.
| maximal subgroup of | #34001248, #34001249, #34001250, … |
| maximal normal subgroup of | #34001248, #34001249, #34001250, … |
| maximal quotient of | #34000812, #34000847, #34000918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19644);