Finite Group DatabasebetaFinite Group Databasebeta| order | 2336 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D73 |
| Fitting | Q16×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
266 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D73, Q32×D73, #17989026, … |
| maximal normal subgroup of | SD32×D73, Q32×D73, #17989026, … |
| maximal quotient of | #103×D73, #107×D73, #17988679, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2336, 162);