Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#10597010 |
| Fitting | Q16×C149 ⋊ C4 |
| Sylow | C149 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
287 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#10597010, Q32×#10597010, #34061087, … |
| maximal normal subgroup of | SD32×#10597010, Q32×#10597010, #34061087, … |
| maximal quotient of | Q16×#11924753, #34060278, #34060279, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1587);