Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#17989510 |
| Sylow | C73 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34000579, #34000581, #34000583, … |
| maximal normal subgroup of | #34000579, #34000581, #34000583, … |
| maximal quotient of | C2×#22624954, #34011717, C2×#22624961, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20850);