Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C4×C8×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3168 |
380 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^722348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32995966, #32995969, #32995971, … |
| maximal normal subgroup of | #32995966, #32995969, #32995971, … |
| maximal quotient of | #33086531, #33090193, #33090203, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15080);