Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17989627 |
| unambiguous semidirect product | D73⋊#441 |
| Fitting | C2×Q16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#441 |
480 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 170 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
296 conjugacy classes — view the full character table.
| maximal subgroup of | #34012599, #34012600, #34012601, … |
| maximal normal subgroup of | #34012599, #34012600, #34012601, … |
| maximal quotient of | C2×#22625524, C2×#22625525, #34018262, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21262);