Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#17988373 |
| Fitting | C2×#99×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×AΣL(1,𝔽16) |
438 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
818 conjugacy classes — view the full character table.
| maximal subgroup of | #33001115, C4×#17988373, #33001130, … |
| maximal normal subgroup of | #33001115, C4×#17988373, #33001130, … |
| maximal quotient of | C2×#22607858, C2×#22607878, #32995232, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6141);