Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17989538 |
| unambiguous semidirect product | D73⋊#389 |
| Fitting | C2×C4⋊C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
416 conjugacy classes — view the full character table.
| maximal subgroup of | #34008836, #34008838, #34008846, … |
| maximal normal subgroup of | #34008836, #34008838, #34008846, … |
| maximal quotient of | C2×#22625108, C2×#22625111, C4×#17989538, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20965);