Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#17989391 |
| Fitting | C2×AGL(1,ℤ/8)×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
836 conjugacy classes — view the full character table.
| maximal subgroup of | #33101885, #33101912, #33101961, … |
| maximal normal subgroup of | #33101885, #33101912, #33101961, … |
| maximal quotient of | C2×#22618455, C2×#22618456, C2×#22618530, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 19262);