Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #343×D73 |
| Fitting | #343×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#343 |
432 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
836 conjugacy classes — view the full character table.
| maximal subgroup of | #1345×D73, #1346×D73, #32996188, … |
| maximal normal subgroup of | #1345×D73, #1346×D73, #32996188, … |
| maximal quotient of | #1280×D73, #32975579, #32975582, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4244);