Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊#10597010 |
| unambiguous semidirect product | D149⋊(C2×C4⋊C4) |
| Fitting | C22×C4×C149 ⋊ C4 |
| Sylow | C149 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059868, #34059869, #34059871, … |
| maximal normal subgroup of | #34059868, #34059869, #34059871, … |
| maximal quotient of | C22×(C2×#10597010)⋊C4, C2×C4×C4⋊#10597010, C2×#23750567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1611);