Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #100×#64408 |
| Fitting | #100×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#100 |
360 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
242 conjugacy classes — view the full character table.
| maximal subgroup of | AΣL(1,𝔽16)×#64408, #352×#64408, #34012482, … |
| maximal normal subgroup of | AΣL(1,𝔽16)×#64408, #352×#64408, #34012482, … |
| maximal quotient of | #323×#64408, #34003428, #34003443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20261);