Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#17989676 |
| Fitting | C2×C8×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×#334 |
200 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 200 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.
200 conjugacy classes — view the full character table.
| maximal subgroup of | #34032895, #34032897, #34032923, … |
| maximal normal subgroup of | #34032895, #34032897, #34032923, … |
| maximal quotient of | C2×#22626937, C4×#17989676, #34033321, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21632);