Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#18011981 |
| Sylow | C149 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34059756, #34059760, #34059765, … |
| maximal normal subgroup of | #34059756, #34059760, #34059765, … |
| maximal quotient of | C2×#23750486, C2×#23750489, #34060239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1561);