Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D149⋊C16 |
| unambiguous semidirect product | D149⋊(C2×C16) |
| derived, Sylow | C149 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
656 conjugacy classes — view the full character table.
| maximal subgroup of | (C2×#10597010)⋊C16, #34059747, #34059748, … |
| maximal normal subgroup of | (C2×#10597010)⋊C16, #34059747, #34059748, … |
| maximal quotient of | C4×D149⋊C16, C2×#23750511, D149⋊(C22⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1603);