Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | #331×D73 |
| Fitting | #331×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#331 |
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
722 conjugacy classes — view the full character table.
| maximal subgroup of | #1402×D73, C2×#331×D73, #1540×D73, … |
| maximal normal subgroup of | #1402×D73, C2×#331×D73, #1540×D73, … |
| maximal quotient of | #1270×D73, #32973957, #32974259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 3149);