Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011966 |
| Sylow | C149 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059530, #34059567, #34059586, … |
| maximal normal subgroup of | #34059530, #34059567, #34059586, … |
| maximal quotient of | C2×#11924753⋊C8, #34059898, #34059904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1507);