Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic149 |
| Sylow | C149 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1064 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34046540, SD32×Dic149, #34046547, … |
| maximal normal subgroup of | #34046540, SD32×Dic149, #34046547, … |
| maximal quotient of | Q16×#11924746, #34043542, #34043588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 644);