Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#18011985 |
| Sylow | C149 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059732, #34059733, #34059735, … |
| maximal normal subgroup of | #34059732, #34059733, #34059735, … |
| maximal quotient of | C2×#23750513, C4×#18011985, C2×C22⋊#14558739, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1604);